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 - Guided Practice for Examples 3, 4, and 5 - Page 576: 9

Answer

$$\frac{\left(x^2-5\right)\left(x+3\right)}{x^2\left(x^2-25\right)}$$

Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{\left(2x^2-10\right)\left(x+3\right)}{\left(x^2-25\right)\times \:2x^2} \\ \frac{2\left(x^2-5\right)\left(x+3\right)}{\left(x^2-25\right)\times \:2x^2} \\ \frac{\left(x^2-5\right)\left(x+3\right)}{x^2\left(x^2-25\right)}$$
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