Answer
$16m^{2}+40mn+25n^{2}$
Work Step by Step
$(4m+5n)^{2}$
Apply the formula for squaring a binomial, which is $(a+b)^{2}=a^{2}+2ab+b^{2}$
Here, $a=4m$ and $b=5n$:
$(4m+5n)^{2}=(4m)^{2}+2(4m)(5n)+(5n)^{2}=16m^{2}+40mn+25n^{2}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 5 - Section 5.6 - Special Products - Exercise Set - Page 387: 35
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