Answer
$42^{2}=1764$
Work Step by Step
$42^{2}=(40+2)^{2}$
Using $(a+b)^{2}=a^{2}+b^{2}+2ab$ where $a=40$ and $b=2$, we have
$(40+2)^{2}=40^{2}+2^{2}+2(40)(2)$
$=1600+4+160=1764$
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: 27
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