Chapter 4.CR, Problem 2CR

### Intermediate Algebra

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

Chapter
Section

### Intermediate Algebra

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

# For Problems 1-6, simplify each rational expression. a 2 − 9 a 2 + 3 a

To determine

To Find:

The expression by simplifying the given rational expression.

Explanation

Approach:

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

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

p(a)â‹…k(a)q(a)â‹…k(a)=p(a)q(a).

Calculation:

The given rational expression is a2âˆ’9a2+3a.

Factorise the numerator a2âˆ’9.

a2âˆ’9=(a2âˆ’32)=(a+3)(aâˆ’3)

Factorise the denominator a2+3a

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