Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.4 Multiply and Divide Rational Expressions - 8.4 Exercises - Skill Practice - Page 578: 30



Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{\left(x^2+3x-4\right)\left(2x^2+4x\right)}{\left(x^2+4x+4\right)\left(x^2-4x+3\right)}\\ \frac{2x\left(x-1\right)\left(x+4\right)\left(x+2\right)}{\left(x+2\right)^2\left(x-1\right)\left(x-3\right)}\\ \frac{2x\left(x+4\right)}{\left(x+2\right)\left(x-3\right)}$$
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