## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 8 Rational Functions - 8.4 Multiply and Divide Rational Expressions - Guided Practice for Examples 6 and 7 - Page 577: 12

#### Answer

$$\frac{x-1}{6x^2}$$

#### Work Step by Step

We first recall that dividing is the same as multiplying by the inverse. Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{2x^2+3x-5}{6x\left(2x^2+5x\right)} \\ \frac{\left(x-1\right)\left(2x+5\right)}{6x^2\left(2x+5\right)} \\ \frac{x-1}{6x^2}$$

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