EXAMPLE 8 Simplifying a Compound Fraction (1 + x³)/2 – x²(1 + x²)-1/2 Simplify: 1 + x?

Q: 30 18) Rationalizing the Denominator: 4-V6

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Q: Convert the fraction 3/4 to its decimal equivalent

A: From the given problem:   34   It means the Divisor is 4 and the Dividend is 3.   So,   The…

Q: Part 2: Multiply the rational expression x2-16 2x+10 5. X+5 x +9x+18 2-x 6. x-4 4-x2 x + 6x

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Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

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Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

A: Polynomial long division and synthetic division are used to divide two polynomials.  The degree of a…

Q: Decompose rational expression into simpler fractions

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Q: Exercise. Given a continued fraction for 2, what is the continued fraction for 1? Prove your claim.

A: Given a continued fraction for pq find the continued fraction for qp. Solution:  Let pq be a…

Q: 23л Simplify COMPLETELY. 12 23л 35. Use the fact that 12 to evaluate: tan 4 6 , and simplify the…

A: To evaluate  tan23π12

Q: 2

A: We have to convert 617 into fraction notation

Q: x3

A: The given function is xx3×x3x3÷x4×x56 Simplify the above function to determine the exact value of x.…

Q: 3. Subtract Expressed as a single fraction, x- 1 is equivalent to x-2 А. x(x – 1) В. x(x – 1) x+2 3x…

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Q: -10 -9- -4 0. 4 6. 8. 10 -2 -4 G. 8- -10 Simplify the scale factor and write it as a proper…

A: Mark the known coordinates on the two circles and the center of the smaller circle G.…

Q: Simplify the ratio of factorials. (8n - 1)! (8n + 1)!

A: Given            8n-1!8n+1!

Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to…

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Q: Put the fractional expression into standard form by rationalizig the denominator.

A: some fractional expressions are given , we have to rationalize and express into standard form

Q: Convert the fraction 3/4 to its equivalent

A: In the question it is asked to convert the 34 to its equivalent.

Q: 12. Convert the fractions from improper to mixed number, or vice-versa. Fraction Notation Mixed…

A: Solution:-

Q: sec2 ede tan30+4tan0

A: In this question we have to solve integration.

Q: lim 9 x^2-81/x-9 What would the factorization look like in the numerator?

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Q: Solve: |4x + 5| < 6 Give your answer using whole numbers, proper fractions or improper fractions in…

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Q: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

A: 1. How do differentiate rational algebraic expression from not rational algebraic expression? 2.…

Q: Completely reduce the fraction. 160 384

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Q: a. 12. Convert the fractions from improper to mixed number, or vice-versa. Balt Fraction Notation…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. You were supposed to use of a cup of cocoa to make a batch of cookies, but you only have of a cup…

A: This is a problem of fraction.

Q: 1. Add Fractions Expressed as a fraction in lowest terms, x# 2, 0, -2, is equivalent to 2-4 A. x(x +…

A: We have to add the given fractions. Please see the explanation below

Q: Simplify the fractional expression. (Expression like these arise in calculus.)

A: Given :          The expression is 1 + x1 - x22   To simplify the above expression.

Q: The algebraic fraction is such that 82-3z+13 Az + B (2² + 8)(x – 5) 2+8 Enter A Enter B Enter C:

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Q: A fraction is such that if the numerator is multiplied by 3 and the denominator is reduced by 3, we…

A: Given,           A fraction is such that if the numerator is multiplied by 3 and the denominator…

Q: the fraction of work done by a man who can finish a job in 2 hours

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Q: 8xy -12x'y in the form 4. Express the final result in a single fraction using positive exponents…

A: It is given that, 8xy2-12x3y-3 in the form of AB. Express the result in a single fraction using…

Q: 3. What is the common ratio in this recursive definition? a1 = 10 %3D an = -2.1an-1 O r= 10 Or= an-1…

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Q: Convert the fraction 1/8 to its decimal equivalent

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Q: 5|x-7|&lt;3 State your answer in interval notation using whole numbers, proper fractions or improper…

A: The given inequality:

Q: QUESTIÓN 6 Perform the indicated operation and simplify the fraction: 3 1 X + 1 x2 + x (Зх+ 4) (х-1)…

A: The solution is provided below. ab÷cd is solved as ab×dc

Q: (x3+10)dx x3-2x2+5x

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Q: use synthetic division  2x^4-x^3-7x^2+7x-10/x-2  (this is a fraction)

A: For synthetic division we have to follow following steps: 1)make a setup for synthetic division 2)…

Q: a.If the denominator of a fraction is fixed and we increase the value of the numerator, will the…

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Q: How do I find the least common denominatior of 3 fractions that have the term x? For example, when…

A: Given,

Q: Simplify the complex fraction by using Method II 2 - 5/3 + 13/2 / 15/2 + 6

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Q: Completely reduce the fraction.

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Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: EXAMPLE 6 Simplifying a Compound Fraction + 1 y Simplify: y 1

A: Given:            xy+11-yx Simplify: xy+11-yx Join: 1-yx=x-yx                  =xy+1x-yx

Q: 3 Expressed as a single fraction, equivalent to is x-2 А. x(x – 1) В. x(x – 1) x+2 3x- 2 С. x(x – 1)…

A: We need to write as a single expression for the following expression : 3x-1-2x

Q: EXAMPLE 5 Adding and Subtracting Rational Expressions Perform the indicated operations and simplify.…

A: We have to simplify the given expressions   the expressions are a) 3x-1+xx+2b)1x2-1-2(x+1)2

Q: What is A-? 1 A = 9. -2 -24 Enter your answer by filling in the boxes. Enter any fractions as…

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