Algebra 1

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

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Lesson Check: 2

Answer

$\frac{(2x+5)(x-5)}{4}$

Work Step by Step

First, we have to multiply together the numerators and the denominators: $\frac{2x+5}{4x-12}\cdot(x^2-8x+15) = \frac{2x+5}{4x-12}\cdot\frac{x^2-8x+15}{1} = \frac{(2x+5)(x^2-8x+15)}{4x-12}$ Next, we factor the polynomial and simplify: $\frac{(2x+5)(x-5)(x-3)}{4(x-3)} = \frac{(2x+5)(x-5)}{4}$
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