Answer
$4r^2-36s^2$
Work Step by Step
The given expression is
$=(-2r+6s)(-2r-6s)$
Use sum and difference pattern $(a+b)(a-b)=a^2-b^2$.
We have $a=-2r$ and $b=6s$.
$=(-2r)^2-(6s)^2$
Simplify.
$=4r^2-36s^2$
Hence, the product is $4r^2-36s^2$.
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 8 - Graphing Quadratic Functions - 8.6 - Comparing Linear, Exponential, and Quadratic Functions - Exercises - Page 468: 50
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