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FOIL stands for -First- -Outer- -Inner- -Last- each letter of FOIL is the first letter of the four words just mentioned. this is called an acronym.

FOIL is used to factor expressions. Here are a few examples.

(x + 5)(x - 3) [Use the first, outer, inner, last method)

x2 [this is first... its the two x's multiplied together. the x's are the first terms in the problem]

x2 - 3x [this is outer... the -3 and the x are multiplied together. the -3 and the x are the outer terms]

x2 - 3x + 5x [this is inner... the 5 and x are multiplied together. the 5 and x are the inner terms]

x2 - 3x + 5x -15 [this is last... the 5 and -3 are multiplied together. the 5 and -3 are the last terms]

Now add like terms and you get...

x2 + 2x - 15 this is your final answer

This is how you do an expression using FOIL. You go from (x+5)(x-3) to x2+2x-15

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