Answer
$4m^{4}-20m^{2}n^{2}+25n^{4}$
Work Step by Step
Recall: $(a-b)^{2}=a^{2}-2ab+b^{2}$
$\implies (2m^{2}-5n^{2})^{2}=(2m^{2})^{2}-2(2m^{2})(5n^{2})+(5n^{2})^{2}$
$=4m^{4}-20m^{2}n^{2}+25n^{4}$
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 376: 41
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