Chapter 4 - Review Exercises - Page 318: 56

$15m^2-7m-2$

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (3m-2)(5m+1) ,$ is \begin{array}{l}\require{cancel} 3m(5m)+3m(1)-2(5m)-2(1) \\\\= 15m^2+3m-10m-2 \\\\= 15m^2-7m-2 .\end{array}