Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Review Exercises - Page 288: 62

Answer

5(4h+5)(4h-5)

Work Step by Step

80h$^2$-125 5(16h$^2$-25) Inside of the parentheses is a difference of squares expression. If the square root of the first term is a and the square root of the second term is b, the factorization is (a+b)(a-b). $\sqrt {16h^2}$=4h and $\sqrt {25}$=5. So the factorization is 5(4h+5)(4h-5).
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