F.O.I.L

Math

FOIL

FOIL stands for

F.irst- Tells you to multiply the first terms of each binomial.

O.uter- Tells you to multiply the outer terms of each binomial.

I.nner- Tells you to multiply the inner terms of each binomial.

L.ast- Tells you to multiply the last terms of each binomial.

Example Problem

( y + 3 ) ( y + 7 )


F.irst- y2

y2

( y + 3 ) ( y + 7 )


O.uter- 7y

y2 + 7y

( y + 3 ) ( y + 7 )


I.nner-3y

y2 + 7y + 3y

( y + 3 ) ( y + 7 )


L.ast- 21

y2 + 10y + 21

Combine like terms

y2, 7y, 3y, 21


y2, 10y, 21 = y2 + 10y + 21

Answer

y2 + 10y + 21