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: 25

Answer

$384$.

Work Step by Step

The given expression is $=16\cdot 24$ $16$ is $4$ less than $20$, while $24$ is $4$ more than $20$. Write as product of difference and sum. $=(20-4)(20+4)$ Use sum and difference pattern $(a-b)(a+b)=a^2-b^2$. We have $a=20$ and $b=4$. $=20^2-4^2$ Simplify. $=400-16$ Hence, the product is $384$.
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