Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 208: 103

Answer

$16a^2-56ab+49b^2$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $ (4a-7b)^2 ,$ is equivalent to \begin{array}{l}\require{cancel} (4a)^2+2(4a)(-7b)+(-7b)^2 \\\\= 16a^2-56ab+49b^2 .\end{array}
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