Expand (2x-4)(x+3)

We are going to use the F.O.I.L Method for this expansion,

FIRST

2x*x = 2x²

OUTSIDE

2x*3 = 6x

INSIDE

-4x*x = -4x

LAST

-4*3 = -12

Now to add up all the terms we have found

2x²+6x-4x+12 = 2x²+2x+12