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: 17

Answer

$16x^2-1$.

Work Step by Step

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