# Foil Method

How to use the foil method to solve polynomial problems: formula, examples and their solutions.

## Formula

FOIL method is a way

to solve the product of two binomials.

Multiply the **F**irst two terms.

Multiply the **O**uter terms.

Multiply the **I**nner terms.

Multiply the **L**ast two terms.

## Example 1

F: *x*⋅*x* = *x*^{2}

O: *x*⋅(-3) = -3*x*

I: +2⋅*x* = +2*x*

L: +2⋅(-3) = -6^{2}

Adding and subtracting polynomials

## Example 2

F: *a*⋅2*a* = 2*a*^{2}

O: *a*⋅(+*b*) = +*ab*

I: -5*b*⋅(2*a*) = -10*ab*

L: -5*b*⋅(+*b*) = -5*b*^{2}