Answer
$2x^2-xy-15y^2$
Work Step by Step
RECALL:
$(a+b)(c+d)=ac+ad+bc+bd$ (popularly known as the FOIL method)
Use the FOIL method to obtain:
$(2x+5y)(x-3y)
\\=2x(x)+(2x)(-3y)+5y(x)+5y(-3y)
\\=2x^2+(-6xy)+5xy+(-15y^2)
\\=2x^2-6xy+5xy-15y^2$
Combine like terms to obtain:
$=2x^2-xy-15y^2$
