This week in class we learned how to multiply polynomials by using a method called FOIL.
FOIL is a type of distributive property.

FOIL stands for First term in each brackets, Outside terms, Inside terms and Last terms in each brackets. (First, Outer, Inner, Last.)

First- multiply the terms which comes first in each binomials.
Outer- Multiply the outer most terms in the products.
Inner- multiply the inner most two terms.
Last- multiply the terms which comes last in each binomials.

Then simply by collecting like terms if there are any.

For example:

( + b) (a + b)
= ()(a) + ()(b) + (b)(a) + (b)(b)
=       first                               outer                  inner        last
=   + b + ab+