Answer
$16c^{2}+32cd+16d^{2}$
Work Step by Step
$\text{Area of the square}=(4c+4d)^{2}$
Using square of a binomial pattern $(a+b)^{2}=a^{2}+2ab+b^{2}$, we have
$(4c+4d)^{2}=(4c)^{2}+2(4c)(4d)+(4d)^{2}$
$=16c^{2}+32cd+16d^{2}$
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: 14
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