Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - Cumulative Test Prep - Multiple Choice - Page 710: 18



Work Step by Step

Given: $\dfrac{x^2-81}{2x^2+23x+45}$ As we know $(a^2-b^2)=(a-b)(a+b)$ Thus, $\dfrac{x^2-81}{2x^2+23x+45}=\dfrac{(x-9)(x+9)}{2x^2+18x+5x+45}$ $=\dfrac{(x-9)(x+9)}{(2x+5)(x+9)}$ $=\dfrac{(x-9)}{(2x+5)}$ Hence, the correct answer is $I$.
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