## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 7 - Section 7.1 - Simplifying Rational Expressions - Exercise Set - Page 490: 47

#### Answer

$\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}=\dfrac{x+2}{x+4}$

#### Work Step by Step

$\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}$ Factor the numerator: $\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}=\dfrac{(x+2)(3x+1)}{3x^{2}+13x+4}=...$ Factor the denominator and then, simplify: $...=\dfrac{(x+2)(3x+1)}{(x+4)(3x+1)}=\dfrac{x+2}{x+4}$

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