Answer
$9a^2-25b^2$
Work Step by Step
The given expression is
$=(3a-5b)(3a+5b)$
Use sum and difference pattern $(a-b)(a+b)=a^2-b^2$.
We have $a=3a$ and $b=5b$.
$=(3a)^2-(5b)^2$
Simplify.
$=9a^2-25b^2$
Hence, the product is $9a^2-25b^2$.
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: 49
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