## Intermediate Algebra (12th Edition)

$15x^2+7xy-2y^2$
Use special products to multiply the given expression, $(3x+2y)(5x-y) .$ Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the expression above is \begin{array}{l}\require{cancel} 3x(5x)+3x(-y)+2y(5x)+2y(-y) \\\\= 15x^2-3xy+10xy-2y^2 \\\\= 15x^2+7xy-2y^2 .\end{array}