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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 13-50, perform the indicated operations involving rational expressions. Express final answers in simplest form. (Objectives 2, 4 and 5)

5 a 2 b 2 11 a b 22 a 3 15 a b 2

To determine

To perform:

The given operation and reduce it in simplest form.

Explanation

A rational expression is defined as the quotient obtained by a division of two polynomials in the form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x, y do not assume values such that q(x,y)=0

If ab and cd are from rational set, then multiplication of rational is formed by writing the numerator as product of numerators and denominator of the product as product of the denominator.

abcd=acbd=acbd

If ab and cd are rational numbers, then the rational division is formed by writing the numerator as the quotient of numerator of the first and denominator of the other rational numbers, and writing the denominator as the quotient of numerator of the first and denominator of the other rational number.

ab÷cd=abdc=adbc

If m and k are integers but not zero and n is any integer, then the two fractions nkmk and nm follow the fraction’s fundamental principle as given below

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