Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 74

Answer

$5r^2-\dfrac{73}{3}ry-\dfrac{10}{3}y^2$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $ \left( 5r+\dfrac{2}{3}y \right)( r-5y ) ,$ is \begin{array}{l}\require{cancel} 5r(r)+5r(-5y )+\dfrac{2}{3}y(r)+\dfrac{2}{3}y(-5y) \\\\= 5r^2-25ry+\dfrac{2}{3}ry-\dfrac{10}{3}y^2 \\\\= 5r^2-\dfrac{75}{3}ry+\dfrac{2}{3}ry-\dfrac{10}{3}y^2 \\\\= 5r^2-\dfrac{73}{3}ry-\dfrac{10}{3}y^2 .\end{array}
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