Answer
$9m^2+6mn+n^2$.
Work Step by Step
The given expression is
$=(3m+n)^2$
Use formula $(a+b)^2=a^2+2ab+b^2$.
We have $a=3m$ and $b=n$.
$=(3m)^2+2(3m)(n)+(n)^2$
Simplify.
$=9m^2+6mn+n^2$
Hence, the product is $9m^2+6mn+n^2$.
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 - Monitoring Progress - Page 372: 4
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