2. Objective
I will be able to:

3. What is a binomial?
- an algebraic expression of the sum
or the difference of two terms
So how can we write 23 as a
binomial?
Then 37 can be written as…

4. Then, how do we multiply these
two binomials?
The Distributive Property!

5. Remember! ^This monomial needs to be DISTRIBUTED to both
terms within the binomial . . .
Distributive Property:
a(b + c) = a(b) + a(c)
Or a(b - c) = a(b) – a(c)

6. Multiplying a binomial times a binomial also uses the
Distributive Property.

7. Let’s check our work….

8. Compare the results….

9. We can use an acronym to help us remember the steps.
F-irst terms
O-uter terms
I-nner terms
L-ast terms
(The acronym FOIL is NOT its own property,
but a derivation of the Distributive Property!)

10. Let’s try the another problem, this time remembering FOIL

12. That was much easier!
Remember, FOIL can be used when
multiplying any binomial by another binomial.