Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 516: 59

Answer

a) $(4+9x^2)(2-3x)(2+3x)$ b) Both 16 and $x^4$ are raised to the fourth power. c) $(16x^4-81)$ is an example.

Work Step by Step

a) $16-81x^4 = (4+9x^2)(4-9x^2) = (4+9x^2)(2-3x)(2+3x)$ b) $16 = 2^4$ c) $(16x^4-81) = (4x^2+9)(4x^2-9) = (4x^2+9)(2x+3)(2x-3)$
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