Answer
$p^2-100q^2$.
Work Step by Step
The given expression is
$=(p-10q)(p+10q)$
Use sum and difference pattern $(a-b)(a+b)=a^2-b^2$.
We have $a=p$ and $b=10q$.
$=(p)^2-(10q)^2$
Simplify.
$=p^2-100q^2$
Hence, the product is $p^2-100q^2$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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: 21
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