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Chapter 4.3, Problem 16PS
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### Intermediate Algebra

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

#### Solutions

Chapter
Section
BuyFindarrow_forward

### Intermediate Algebra

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

# For Problems 13-66, add or subtract the rational expressions as indicated. Be sure to express your answers in simplest form. (Objective 2) 6 a a − 3 − 18 a − 3

To determine

To solve:

The given operation involving rational expressions.

Explanation

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

For values of x where q(x) and k(x) are both nonzero expressions, then by the fundamental principle of fractions, for all polynomials p(x), the following holds.

p(x)â‹…k(x)q(x)â‹…k(x)=p(x)q(x).

Calculation:

The given expression is 6aaâˆ’3âˆ’18aâˆ’3.

The LCD of the denominator is (aâˆ’3)

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