# How do you FOIL #(x-2)(x+3)#?

##### 1 Answer

May 28, 2015

FOIL stands for "First, Outer, Inner, Last."

- "First" refers to the first term of each factor: here, this would be
#x# and#x# - "Outer" refers to the outermost terms of each factor: here this would be
#x# and#3# - "Inner" refers to the innermost terms of each factor (those nearest the middle): here this would be
#-2# and#x# - "Last" refers to the last term of each factor: here this would be
#-2# and#3#

Utilizing the foil method, one adds together the indicated products (so the product of the First terms, plus the product of the Outer terms, etc.)

F:

O:

I:

L:

Adding these together yields