Expand (2x-3)(4x+4) using the FOIL method.
Question:
Expand (2x-3)(4x+4)
We will be using the FOIL method. FOIL is an ancronym:
F=first
O=outside
I=inside
L=last
So, to begin, we start with the first term in each bracket, and multiply them together.
2x4x=8x2
Next, we take the outside terms of the brackets, so 2x and 4.
2x4=8x
Now, we move onto the inside terms. Now this may seem a little complicated. As the first bracket is (2x-3), we must always involve the fact that the 3 is negative. So, we are using the figures, -3 and 4x
-34x=-12x
Finally, the last terms
-34=-12
We then add all these answers up
8x2+8x-12x-12=
8x2-4x-12
Therefore (2x-3)(4x+4)=8x2-4x-12
