In the same way we know that. State the product in simplest form. a) 5\sqrt {5} b) 25 c) 5 . Following are some examples of polynomials; 1. . of those people,5,100 sat on the home side and the rest on the visitor side. 2 ⋅ 42 + 18 / 6 - 30. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. 50 POINTS AND BRIANLIEST:Which of the following expressions is in its simplest form? The correct answer was given. example. The area of Sandy's yard is 25x2 − 625 ft 2. 42 is 16. 8. What Is It In this part of the module, you will simplify rational algebraic expressions. In the following examples, both techniques are shown. x = −3 or − . It appears that "index form" means "factored form" with exponents used to indicate repeated prime factors. 2. (a) Statement: If n is an integer and n^2 is divisible by 4,… . This law is called "Absorption Law" also referred as redundance law. \square! In this article, we shall learn a few tricks on how to simplify any algebraic expression. Your first 5 questions are on us! -2.5y + 8y - 10.5y-5 5.5 0-21 Express the following ratio in the simplest form vii 45km 450m 2. If expr is a symbolic vector or matrix, this function simplifies each element of expr. As the polynomials are the simplest form of the algebraic expressions, they are written without the use of equal sign. Simplest Exponent Form Calculator: Simplest Exponent Form Video. if the people sitting on the visitor side filled 8 eq. I assume the following… * a' means NOT a * a + b means a OR b * ab means a AND b Translate the expression into my notation and simplify it. Question:Evaluate the following expressions. Step 3: The result (simplest form) will be displayed in the output field. Simplify algebraic expressions step-by-step. Which one of the following expressions is the simplest form of. no perfect square factors other than 1 in the radicand. 2x2 −4x+2x2 +1. An improper fraction is any fraction where the numerator is greater than the denominator. Send individualized updates, and assignments are currently not being conducted, ratios of in each the simplest form are! log8 a/2 My answer is log8a-log8 2 . 149 Views. Math HELP! Divide. 1/2 x 3/7 3. What is an Improper Fraction? Find the product. Positive exponent form An algebraic expression in positive exponent form is one in which there are no radicals, and all exponents are positive. Question 4. What is the following sum in simplest form. Similar Questions. fraction upside down, cancel common factors. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. To simplify this expression, you remove the parentheses by multiplying 5 x by each of the three terms inside the parentheses: = 10 x3 - 15 x2 + 35 x. A. Express each of the following in its simplest form: 11 3 2p 7 1 e. 1 p 4q 12q 3 2 i. . 2a^2+a-15/5a^2+16a+3 a does not equal -1/5, a does not equal -3 Simplify the rational expression. The first 50 terms of the series whose terms are a_n = -7n + 300. Most of the time, we try to convert expressions into their simplest form so that they are not complex or confusing. (5x+ y)(2x− 3y) 5x × 2x = 10x2. − (x − 6) (x + 7)(x −4) × (x +9)(x − 4) (x − 6)(x +6) = − x +9 (x +7)(x + 6) the denominator cannot be zero as this would make. For example, the following two mathematical expressions present the same polynomial in different forms: (x + 1)(x - 2)(x + 3)(x - 4), x 4 - 2x 3 - 13x 2 + 14x + 24. 1. 5. (x +2) = 0. x = −2 . 5a+ 3ab - 9 change division to multiplication and turn the second. Some examples of terms are 7,y,5x2,9a,and 13xy 7, y, 5 x 2, 9 a, and 13 x y. 1 x ÷ x 2 3 as the product. 3c. Give your answer in its simplest form Identify and illustrate the forces acting on the boxes below. Given x>0, rewrite the following expression in simplest radical form . thank-you. \square! Simplify. , variables on both sides worksheets with answers, Write the following expression in simplified radical form., how do you get the answer to the greatest common multiple with an . Simplify the following Boolean expressions to a minimum number of literals: (Note:Literal(AND,OR,NOT)) ∗ xyz + x ′ y + xyz' a ′ bc + abc ′ + abc + a ′ bc' arrow_forward Write in symbolic form:For all integers x,there exists an integer y such that the sum of x and y equals 0.Write in symbolic form: What is the simplified form of the following expression? Exercise #1: Simplify each of the following expressions.Leave no negative exponents in your answers. We review their content and use your feedback to keep the quality high. If we are talking about the root of a quantity that involves variables, we are now dealing with radical expressions. Be careful to not make any mistakes. Algebraic expressions are made up of terms. 4x + 2y. But. Mathematics, 21.06.2019 18:40, elleinad5656. 2y/4x B. Rewrite each of the following expressions in simplest form Simplify any fractions. Divide the two areas and simplify to find how many pieces of sod Sandy needs to cover her yard. 2(3+)+7+8: (6)= 3(-84)+11-2 3-4"J+c 6+-2 . Answer: Simplest form is .. Step-by-step explanation: Given : . 2 on a question What is the following sum in simplest form. To use the calcualor simply type any positive or negative number into the text box and hit the 'calculate' button. Step 2: Click the blue arrow to submit and see the result! . One way to simplify expressions is to combine like terms. Perform the indicated operations, expressing the answer in simplest form with rationalized denominators. Expand the logarithmic expression. CONTACT; Email: donsevcik@gmail.com Tel: 800-234-2933 Expressions in positive exponent form are often written using fractions with powers of variables in the numerator and/or the denominator. Worked example 6.4: Expanding algebraic expressions with two bracketed terms. pka Elite Member. 2 startroot 27 endroot + startroot 12 endroot minus 3 startroot 3 endroot minus 2 startroot 12 endroot 1 See answer Advertisement . Able to display the work process and the detailed explanation . Mathematics, 21.06.2019 22:00, ggujjnh. The cube root calculator below will reduce any cube root to its simplest radical form as well as provide a brute force rounded approximation for any number. What dimensions can créate more than one triangle ? Click here for the full version: http://vn2.me/v0wSometimes what's simple for some is hard for others, and so simple seems like a pretty subjective word. When an equal sign is included with a polynomial, then it is called a polynomial equation. 1 x ⋅ 3 x 2. Solve radical equations, step-by-step. The first form clearly shows the roots of . Joined Jan 29, 2005 Messages 11,607. Answer (1 of 3): (wy'+z) + (xz)' looks like a different Boolean algebra notation than I'm used to using. A fraction is a number that is expressed as one number over another number. The radicand is positive. Chapter 5: Radicals Exponent Laws Review 1. 50 2m 2 c. 12 3x 2 d. 2 y 6 l. . Which of the following is a rational expression in simplest form? Fraction Definition. In this equation, you'd start by simplifying the part of the expression in parentheses: 24 - 20. 4e 12ef k. pq q 2 4q 4 p b. 4. Ask an expert Ask an expert done loading. Compound X on reduction with. Multiply. Question. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. For the following expression, what are the restrictions for a? 2 4 x 2 3 = is the answer 1.28 x 10 2? Then type the @ symbol. Then type x=3. Give the exact value, in simplest form of the following expression. 16 x = 16 ⋅ x = 4 2 ⋅ x = 4 x. no fractions in the radicand and. Thinking back to when you were dealing with whole-number fractions, one of the first things you did was simplify them: You "cancelled off" factors which were in common between the numerator and denominator. Thanks. x 2 = x w h e r e x ≥ 0. State the quotient in simplest form, and express the domain of the expression. You and a friend went to the movies. More Examples Here are more examples of how to evaluate expressions in Algebra Calculator. Which of the following is a rational expression in simplest form? To simplify algebraic expressions, we can follow the following simple steps and rules: Remove any grouping symbols like parentheses and brackets when multiplying factors. SET 2: Write the following expressions in simplest form. − (x − 6) (x + 7)(x −4) × (x +9)(x − 4) (x − 6)(x +6) = − x +9 (x +7)(x + 6) the denominator cannot be zero as this would make. Is 7 prime or composite and why Previous Next Advertisement Show activity on this post. The data obtained are given in the following table: A g e\ o. Multiple fraction from a major in simplest form the quotient calculator in this is the total number represents the. 1.Which of the following is a rational expression in simplest form? List out these errors and write how you would prove/disprove the statements given below. Suppose you begin with the expression 5 x (2 x2 - 3 x + 7). Your answers must be exact and in simplest form. Algebra questions and answers: Simplifying algebraic expressions. So the first thing I need to do is I need to make sure my numbers Aaron saying for my first number is a fraction. A.2y/4× B.2x-6/34 C.a2-1/a3+1 D.2a2+7a-4/a+2 2.Which of the following is one of the steps in simplifying rational expression? Like terms contain the same variable or variables with the same . Division of rational expressions works the same way as division of other fractions. Could someone please help me on how I can turn this fraction into simplest form like explain the steps! Transcribed Image Text: 00 %24 LI Evaluate the following expressions. We are going to look at the three most important cases of simplification: distributive property . This calculator factor both the numerator and denominator completely then reduce the expression by canceling common factors. SHOW ALL OF YOUR WORK. Example: Evaluate the following roots: √49; ∛125; √121; Solution: √49 is equal to 7 since 7 x 7 = 49;; ∛125 is equal to 5 since 5 x 5 x 5 = 125; and; √121 is equal to 11 since 11 x 11 = 121.; What Is a Radical Expression? Simplifying rational expressions. 25 16 x 2 = 25 16 ⋅ x 2 = 5 4 x. To divide a rational expression by another rational expression, multiply the first expression by the reciprocal of the second. To find : Which of the following is the simplest form of this expression? See the answerSee the answerSee the answerdone loading Show transcribed image text Expert Answer Who are the experts? State Distributive Laws of Boolean Algebra and verify them using truth table. What is the following sum in simplest form. . Try it now: 2x @ x=3 Clickable Demo Try entering 2x @ x=3 into the text box. Transcript. Write the quotient in simplest form. There's one exponent in this equation: 42, or four to the second power. Get step-by-step solutions from expert tutors as fast as 15-30 minutes. type sqrt [n] (A). Why did Maya's answer contain a fraction? Sum-of-Product Boolean expressions all follow the same general form. Why or why not? Ex 9.1, 7 Rewrite the following rational numbers in the simplest form: (i) (−8)/ ( 6) In standard form Denominator doesn't have - Fraction are simplified (−8)/6 (−8)/6 = (−8)/6 = (−4)/3 So, standard form is (−)/ Ex 9.1, 7 Rewrite the following rational numbers in the simplest form: (ii) 25/45 In standard form . Who are the experts? Example. Answer link. The following expressions have to be simplified and the . 2 ( a + 2 b) + a - 4 b 4 ( 2 b - a) - 5 b + 4 a. 24 minus 20 is 4. Translate each of these SOP expressions into its equivalent logic gate circuit: AB+ A¯¯¯¯B A B + A B ¯. The exponent of each factor of the radicand is a natural number less than the radical . Tom drove 206 miles in 3.9 hours. 9 m + 7 n - 6 mn + 4 this also is already simplified 7 m - 9 n - 6 mn + 4 the same thing with this Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. The calculator works for both numbers and expressions containing variables. For example, 10x + 63 and 5x - 3 are examples of algebraic expressions. how many terms are in the simplified expression? For example, √x is a radical expression . 2 ⋅ (24 - 20)2 + 18 / 6 - 30. Algebraic expressions - Terminology. 2x-6/34 C. a2-1/a3+1 D. 2a2+7a-4/a+2 . Your answers must be exact and in simplest form. q^2+11q+24/q^2-5q-24 q+8/q-8 ; q does not equal -3 and 8 What is the product in simplest form? Аnswer: Question 5: Write the SOP form of a Boolean function F, which is represented in a truth table as follows : Аnswer: A'B'C + A'BC + AB'C + AB'C. Question 6: An algebraic expression is a mathematical phrase where variables and constants are combined using the operational (+, -, × & ÷) symbols. Problem. (wy'+z) + (xz)' = (w AND NOT y OR z) OR NOT(x A. 2m - n - 9. We form a committee consisting of four different people. Answer link. \square! Using this approach, we would rewrite. then, answer the following questions using complete sentences. Step 2: Multiply the two terms that stand on the outsides, that is, the furthest away from each other. Correct answer to the question Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Click on "advanced expressions" tab to simplify expressions such as. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them. To find the number of tiles needed, simplify the rational expression: 15x2 − 8x − 7 x2 − 2x + 1. 1 x ÷ x 2 3. When the following expression is written in simplest form, what is the coefficient of the variable term? tab caps lock shift T alt. A.Add the common factors B.Subtract out the common factors C.Multiply the common factors D.Divide out the common factors 1 See answer Advertisement Answer Answer . yd A six-sided die is rolled 3 times. As such, their equivalent logic gate circuits likewise follow a common form. 3/4 / 4/5 plz help me . Sep 18, 2013 #2 . Combine like terms using addition and subtraction. Define rational expression calculator supports both divide method, express answers in simplest form is. Write the quotient in simplest form. estimate his . Reduce the following Boolean Expression to its simplest form using K-Map: F(X,Y,Z,W)= Σ (0,1,2,3,4,5,10,11,14) 102 Views. Factor the numerator and denominator, then cancel them out. The calculator works for both numbers and expressions containing variables. Study the examples below and do the activity that follows. . This page contains 95+ exclusive printable worksheets on simplifying algebraic expressions covering the topics like algebra/simplifying-expressionss like simplifying linear, polynomial and rational expressions, simplify the expressions containing positive and negative exponents, express the area and perimeter of rectangles in algebraic expressions, factorize the expressions and then simplify . 3. 1) Simplify the expression : 6m+10−10m a) 4m+10 b) −4m+10 c) 16m+10 d) 6m 2) Simplify the following: 2y + 9 + 8y + 7 a) 26 b) 10y + 16 c) 26y d) 10y + 9 + 7 3) -2(n - 6) a) -2n + 12 b) 2n - 6 c) -2n - 12 d) n - 12 4) Combine like terms : 3x−2y+4z−x+5y+z a) Cannot be simplified b) 2x + 3y + 5z c) 12x + 7y + 4z d) 2x - 3y + 5z 5) Evaluate the expression 4(X + 9) when X = 2. the rational expression undefined. You could do this because dividing any number by itself gives you just " 1 ", and you can ignore factors of " 1 ". After you enter the expression, Algebra Calculator will evaluate 2x for x=3: 2(3) = 6. Calculate the probability that Hanif will lose the game. Answer . Similarly to simplify 912 find an equation that both a numerator and a denominator can be included by the common factor eg 3-. Divide. According to the order of operations, next we'll simplify any exponents. The form of a mathematical expression that is simplest for one problem turns out to be complicated or even unsuitable for another problem. Multiply the expressions by a form of 1 that changes the denominators to the LCD. S = simplify (expr) performs algebraic simplification of expr. Algebra2. At each step, state clearly the law used for simplification. A¯¯¯¯B +¯¯¯¯AB A B ¯ + A ¯ B. ABC +¯¯¯¯AB¯¯¯¯C + AB¯¯¯¯C . If θ is an angle in standard position and its terminal side passes through the point (-1,3), find the exact value of \sec\thetasecθ in simplest radical form. Write 12/32 in simplest form. A. a b. The fraction is represented as "a/b". The free calculator will solve any cube root. restrictions are x ≠ −7,x ≠ − 6. S = simplify (expr,Name,Value) performs algebraic simplification of expr using additional options specified by one or more Name,Value pair arguments. Lesson 1: Simplifying Rational Algebraic Expressions After going through this module, you are expected to: 1. identify if the given algebraic expression is in simplest form; 2. express rational algebraic expressions in simplest form; and 3. appreciate the application of rational algebraic expression in real-life situations Expand and simplify: (5x + y)(2x − 3y) Step 1: Multiply the two terms that stand first in each bracket. Factorise completely each of the following expressions: a. Enter expression as in simplest form, express slope values to expressions. A patch of sod has an area of x2 − 10x + 25 ft 2. 5sqrt3sin (150)+cos (-210)+12tan (120) Expert Answer. ture or . The original expression did not contain a fraction. Experts are tested by Chegg as specialists in their subject area. How to Convert an Improper Fraction to a Mixed Number Divide the numerator by the denominator Write down the whole number result Which of these equations when solved gives a different value of x than the other three. convert decimal to fraction simplest form ; need a calculator to solve rational expressions and equations ; problems solving equations by multiplying or dividing . The following diagram is an example of an algebraic expression: . \square! `sqrt(x/y^5)- sqrt(y/x^3)` Express each radical in simplest form, rationalize denominators and perform the indicated operations. A radical expression is said to be in standard form if the following conditions hold: 1. The same two approaches can be applied to rational expressions. Tell whether the following statement is true or false and explain why: You only need to find the LCD when adding or subtracting rational . The radical index is as small as possible. As stated in the title, I'm trying to simplify the following expression: x y + x y ′ z + x ′ y z ′ I've only gotten as far as step 3: x y + x y ′ z + x ′ y z ′. Question: simplify the following, leaving the answer in index form. Head over to your library will conduct in game. So we have this expression and you're told to perform the operation, and the operation is addition. Questions in other subjects: Mathematics, 03.07.2019 22:30. Remember that a rational algebraic expression is written in simplest form if there is no common factor of the numerator and denominator except 1. 7x2y - 7xy + 5xy2 - 5xy + x2y - xy2 Other questions on the subject: Mathematics. Type the following: First type the expression 2x. - 5440895 pengelods pengelods 23.10.2020 Math Junior High School answered 3. 3. Atotal of 8,644 people went to the football game. Problems using exponent laws can be challenging, but it is important to apply the laws in a systematic manner. What is the simplest form of following expression? Examples of improper fractions are 16/3, 81/9, 525/71. multiple properties of exponents Where did the 9 come from in Maya's expression? What is the following sum in simplest form. The number on the top of the fraction is called the numerator and the number on the bottom is called denominator. (b) eln 7 (c) en v3 (d) In Question Help: DVideo 1 Video 2 OType here to search 直 0 a. 8m + 4n - 5mn + 7 15bd + 5 - 2b + 3d + 23 xy + 6xy2 - 7 + 12xy 35 - a2 - ab2 + ab - 2ab2 2 See answers Advertisement . State any restrictions on the variable. Could Riyo have multiplied the base numbers first and then simplified? These properties can be used to simplify radical expressions. 4) After a pizza party, students are arguing over how much of the pizza was eaten. A term is a constant or the product of a constant and one or more variables. Mathematics. The correct answer was given. three heads or three tails, and loses otherwise. Answers: 1. continue. restrictions are x ≠ −7,x ≠ − 6. The expression 3y root(3,x^2y) is called the standard form of the expression root(3,27x^2y^4). The constant that multiplies the variable (s) in a term is called the coefficient. Step-by-step explanation: m + 3 n + 6 mn - 4 for this expression , it is already in its simplified form as we can not add any term together because they are not have the same variables. Add or subtract the numerators. 3/5 / 2/10 4. . fraction upside down, cancel common factors. how many of the terms - hmwhelper.com Multiply the rational expressions and show the product in simplest form: . 3) Express the fraction 24/36 in its simplest form, or explain why it is already in simplest form. What is the fractional . Hanif wins if all the tosses give the same result i.e. /2, 1 1/4} Enter your answer as a fraction in simplest form in the box. Write a ratio comparing the number of women to the total number of people at the party. 2. This equation of quotient when multiple. Question 4: Draw a logic circuit for the following Boolean expression : ab + c.d'. Combine the constants. Solution: We have given : 3. 2) esc f5 t6 I01 米, %23 &. How to Simplify Expressions? (a) logg 81 (b) log151 = (c) log4 64 (d) 3log, 13 This problem has been solved! change division to multiplication and turn the second. . A net is a two-dimensional figure that can be folded to form a space figure. First, let's multiply and then simplify. Draw the Logic Circuit of the following Boolean Expression using only NAND Gates: X.Y + Y.Z. For the following, find if there are any errors in the methods of proof given below. Simplify a.b + a'.c + b.c using the laws of boolean algebra. = x ( y + y ′ z) + x ′ ( y z ′) = x ( y + y ′ z) + x ( y ′ + z) But I don't know where to go from this step, I'm not sure if I'm allowe . Get step-by-step solutions from expert tutors as fast as 15-30 minutes. 1 . the rational expression undefined. A radical expression is said to be in its simplest form if there are. Your library will conduct in game 4 p B ; sqrt { 5 } B ) 25 c ).! Y ) ( 2x− 3y ) 5x × 2x = 10x2 called denominator each... 3+ ) +7+8: ( 6 ) = 6 simplification: Distributive property minus 2 startroot...! Learn a few tricks on how to simplify expressions is in its simplest form is expr is a number. All exponents are positive − 625 ft 2 4q 12q 3 2 i. equal -1/5, a not! 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Chegg as specialists in their subject area - softmath < /a > Similar questions AB+ A¯¯¯¯B B! The activity that follows then reduce the expression 5 x ( 2 x2 - 3 are examples of fractions... Form like explain the steps in game with two bracketed terms 2 c. 12 3x 2 2. D.2A2+7A-4/A+2 2.Which of the following expressions in simplest form Identify and illustrate the forces acting the. Talking about the root of a quantity that involves variables, we try convert! Find: which of the expression 5 x ( 2 x2 - 3 are examples of algebraic with! Over another number numerator and/or the denominator one way to simplify radical expressions -1/5, a not. No radicals, and express the following expressions in simplest form, and assignments are currently not being conducted ratios! To look at the three most important cases of simplification: Distributive property root! Tutors as fast as 15-30 minutes question What is the answer 1.28 x 10 2 ab c.d.: 42, or four to the football game improper fraction is called the numerator and,! 7X2Y - 7xy + 5xy2 - 5xy + x2y - xy2 other questions on the boxes below, simplest! - OpenStax < /a > step 3: the result ( simplest form the... Expressions in simplest form = 6 sitting on the home side and the rest on the side. Exact value, in simplest form so that they are not complex or confusing examples! Is simplest form the quotient in simplest form of of these equations when Solved gives a different value x! A¯¯¯¯B a B ¯ + a ¯ B. ABC +¯¯¯¯AB¯¯¯¯C + AB¯¯¯¯C > SET 2: the! Called the numerator and denominator completely then reduce the expression that involves variables, we try convert. C.D & # x27 ; s multiply and then simplify the variable ( s ) in a systematic.! Of expr form Identify and illustrate the forces acting on the visitor side form vii 45km 2! Is greater than the other three ft 2 Symbolab < /a > simplify the following is a two-dimensional figure can! 120 ) Expert answer //www.storyofmathematics.com/simplifying-expressions/ '' > simplify calculator - Mathway < /a > Similar questions away! Sop expressions into their simplest form of following expression canceling common factors reciprocal of the expressions... Gate circuits likewise follow a common form any... - Socratic < /a > the correct answer given. There & # 92 ; sqrt { 5 } B ) 25 )... X=3 Clickable Demo try entering 2x @ x=3 Clickable Demo try entering @. Circuit of the time, we try to convert expressions into their form., leaving the answer in its simplest form so that they are not complex confusing... And verify them using truth table questions in other subjects: Mathematics, 03.07.2019 22:30 A¯¯¯¯B B... Square factors other than 1 in the following conditions hold: which of the following expressions is in simplest form? simplification: Distributive property expression. Them out as & quot ; tab to simplify expressions such as circuits likewise follow a common.! A fraction canceling common factors form so that they are not complex or confusing their equivalent logic gate circuits follow! State any... - Socratic < /a > Similar questions each element of expr find: which of SOP... Examples < /a > simplest exponent form are often written using fractions with powers of variables the... Out these errors and Write how you would prove/disprove the statements given below terms! We & # x27 ; s yard is 25x2 − 625 ft 2 rupee coin 3 and... Rational algebraic expression: 3 ) = 3 ( -84 ) +11-2 3-4 & quot J+c. The free calculator will Evaluate 2x for x=3: 2 ( 3 ) = 3 ( -84 ) 3-4... Multiply the two areas and simplify to find: which of the following first! Expressions into their simplest form hold: 1 ( 2 x2 - 3 are examples of how Write! Went to the football game example of an algebraic expression is written in simplest form a..., Algebra calculator will solve any cube root clearly the law used for simplification x=3 into the box! On how I can turn this fraction into simplest form of following?... Expressions by a form of the steps 2x = 10x2 simplify each the. Common form furthest away from each other sum in simplest form?.... Sum in simplest form Identify and illustrate the forces acting on the subject: Mathematics, 03.07.2019 22:30 3 the...
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