Algebra 1

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

Chapter 8 - Polynomials and Factoring - Chapter Review - 8-7 Factoring Special Cases - Page 526: 69



Work Step by Step

Given the polynomial $32v^{2}$ - 8 We see that both the terms have a common factor of 8 thus we factor the 8 out. $8(4v^{2}$ - 1) We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = $8(4v^{2}$ - 1) *** Take the square root of $4v^{2}$ which is 2v. Becuase 2v × 2v= $4v^{2}$ *** Take the square root of 1 which is 1. Becuase 1 × 1= 1 = $8((2v)^{2}−1^{2}$) In the given formula let 2v represents a and 1 represents b. $8((2v)^{2}−1^{2}$) = 8(2v+1)(2v-1)
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