Question 150736

Use the FOIL (First, Outer, Inner, Last) method,
First : {{{(highlight(2x)-3)(highlight(3x)-2)=(2x)(3x)=6x^2}}}
Outer : {{{(highlight(2x)-3)(3x+highlight(-2))=(2x)(-2)=-4x}}}
Inner : {{{(2x+highlight(-3))(highlight(3x)-2)=(-3)(3x)=-9x}}}
Outer : {{{(2x+highlight(-3))(3x+highlight(-2))=(-3)(-2)=6}}}
Add them all together,
{{{(2x-3)(3x-2)=6x^2-4x-9x+6}}}
{{{(2x-3)(3x-2)=6x^2-13x+6}}}