Big Ideas Math - Algebra 1, A Common Core Curriculum

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: 12

Answer

$4x^{2}+28x+49$

Work Step by Step

$\text{Length of a side of the square}=x+7+x=2x+7$ $\text{Area of the square}=(2x+7)^{2}$ Using square of a binomial pattern $(a+b)^{2}=a^{2}+2ab+b^{2}$, we have $(2x+7)^{2}=(2x)^{2}+2(2x)(7)+7^{2}$ $=4x^{2}+28x+49$
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