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: 80

Answer

$m^2+2mp+p^2-25$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the given expression, $ [(m+p)-5][(m+p)+5] ,$ is equivalent to \begin{array}{l}\require{cancel} (m+p)^2-(5)^2 \\\\= (m+p)^2-25 .\end{array} Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the expression above is equivalent to \begin{array}{l}\require{cancel} [(m)^2+2(m)(p)+(p)^2]-25 \\\\= m^2+2mp+p^2-25 .\end{array}
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