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 - Practice and Problem-Solving Exercises - Page 663: 54



Work Step by Step

$\frac{5x^2+10x-15}{5-6x+x^2}\div\frac{2x^2+7x+3}{4x^2-8x-5}$ $\frac{5x^2+10x-15}{x^2-6x+5}*\frac{4x^2-8x-5}{2x^2+7x+3}$ $\frac{5x^2+10x-15}{x^2-6x+5}*\frac{4x^2-8x-5}{2x^2+7x+3}$ $\frac{5(x^2+2x-3)}{(x-1)(x-5)}*\frac{(2x+1)(2x-5)}{(2x+1)(x+3)}$ $\frac{5(x+3)(x-1)}{(x-1)(x-5)}*\frac{(2x+1)(2x-5)}{(2x+1)(x+3)}$ $\frac{5(x+3)}{(x-5)}*\frac{(2x-5)}{(x+3)}$ $\frac{5(x+3)(2x-5)}{(x-5)(x+3)}$ $\frac{5(2x-5)}{(x-5)}$
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