Question 612938


{{{2x^2+6xy-5xy-15y^2}}} Start with the given expression



{{{(2x^2+6xy)+(-5xy-15y^2)}}} Group the terms in two pairs



{{{2x(x+3y)-5y(x+3y)}}} Factor out the GCF {{{2x}}} out of the first group. Factor out the GCF {{{-5y}}} out of the second group



{{{(2x-5y)(x+3y)}}} Since we have the common term {{{x+3y}}}, we can combine like terms



So {{{2x^2+6xy-5xy-15y^2}}} factors to {{{(2x-5y)(x+3y)}}}



In other words, {{{2x^2+6xy-5xy-15y^2=(2x-5y)(x+3y)}}} for all values of x and y.