Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set: 48

Answer

$25+15x+2x^2$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $ (5+x)(5+2x) $, is equivalent to \begin{array}{l}\require{cancel} 5(5)+5(2x)+x(5)+x(2x) \\\\= 25+10x+5x+2x^2 \\\\= 25+15x+2x^2 .\end{array}
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