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: 23

Answer

$y^2-16$.

Work Step by Step

The given expression is $=(-y+4)(-y-4)$ Factor out $-1$. $=-1(-y+4)(y+4)$ Use distributive property. $=(y-4)(y+4)$ Use sum and difference pattern $(a-b)(a+b)=a^2-b^2$. We have $a=y$ and $b=4$. $=(y)^2-(4)^2$ Simplify. $=y^2-16$ Hence, the product is $y^2-16$.
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