# Chapter R - Review Exercises - Page 75: 74

$(5p+3q)(3m-2n)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To factor the given expression, $15mp+9mq-10np-6nq ,$ use factoring by grouping. $\bf{\text{Solution Details:}}$ Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to \begin{array}{l}\require{cancel} (15mp+9mq)-(10np+6nq) .\end{array} Factoring the $GCF$ in each group results to \begin{array}{l}\require{cancel} 3m(5p+3q)-2n(5p+3q) .\end{array} Factoring the $GCF= (5p+3q)$ of the entire expression above results to \begin{array}{l}\require{cancel} (5p+3q)(3m-2n) .\end{array}

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