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whats foil

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FOIL stands for First Outer Inner Last.  It is used to multiply 2 binomials   

For example (x+4)(x-1)

F(irst) (take the first term of each binomials and multiply them) - (x)*(x) = x2

O(uter) (take the outer term of each binomials and multiply them) - (x)*(-1) = -1x

I(nner) (take the inner term of each binomials and multiply them) - (4)*(x) = 4x

L(ast) (take the last term of each binomials and multiply them) - (4)*(-1) = -4

Then add them all together -> x2-x+4x-4

Combine like terms -> x2+3x-4