Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Got It? - Page 526: 5


a. $12(t+2)(t-2)$ b. $3(2x+1)^{2}$

Work Step by Step

a. $12t^{2}-48=$ ...factor out the GCF, $12$. $=12(t^{2}-4)$ ...write the difference as $a^{2}-b^{2}$. $=12(t+2)(t-2)$ b. $12x^{2}+12x+3=$ ...factor out the GCF, $3$. $=3(4x^{2}+4x+1)$ ...write as the square of a binomial $=3(2x+1)^{2}$
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