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: 97

Answer

$9x^2+24xy+16y^2$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$, or the square of a binomial, the given expression, $ (3x+4y)^2 ,$ is equivalent to \begin{array}{l}\require{cancel} (3x)^2+2(3x)(4y)+(4y)^2 \\\\= 9x^2+24xy+16y^2 .\end{array}
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