## College Algebra (11th Edition)

Published by Pearson

# Chapter R - Review Exercises - Page 75: 57

#### Answer

$9k^2-30km+25m^2$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $(3k-5m)^2 ,$ use the special product on squaring binomials. $\bf{\text{Solution Details:}}$ Using the square of a binomial which is given by $(a+b)^2=a^2+2ab+b^2$ or by $(a-b)^2=a^2-2ab+b^2,$ the expression above is equivalent to \begin{array}{l}\require{cancel} (3k)^2-2(3k)(5m)+(5m)^2 \\\\= 9k^2-30km+25m^2 .\end{array}

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