Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.3 - Special Products of Polynomials - Exercises - Page 375: 18

Answer

$4k^2-16$.

Work Step by Step

The given expression is $=(2k-4)(2k+4)$ Use sum and difference pattern $(a-b)(a+b)=a^2-b^2$. We have $a=2k$ and $b=4$. $=(2k)^2-4^2$ Simplify. $=4k^2-16$ Hence, the product is $4k^2-16$.
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