Multiplying Binomials using FOIL or Smiley Face method

These lessons, with videos, examples and step-by-step solutions, help Algebra 1 students learn how to multiply binomials using FOIL or Smiley Face method.

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This method can only be used when we are multiplying a binomial by a binomial.

The following diagram shows an example of multiplying binomials using FOIL or Smiley Face method. Scroll down the page for more examples and solutions on how to multiply binomials.

Foil Method

How to multiply a binomial by a binomial using the FOIL method and a Smiley Face Method?
FOIL stands for First, Outer, Inner, Last.

(2x - 3)(5x + 9)
(7x - 3)(2x + 3)

Multiplying Binomials – Smiley Face Method
How to expand a set of double brackets using the smiley face method?

Multiply the following binomials

  1. (3a - 4b)(2c + 5d)
  2. (3 + 2y)(3y - 4)

Multiplying Two Binomials Using the FOIL Method

(x + 3)(x + 2)
(x + 4)(x - 5)
(x - 2)(x - 6)

Multiplying Binomials
The following video looks at multiplying binomials (2 term polynomials).
When multiplying binomials we use what we call the F.O.I.L Method. First, Outer, Inner, Last.

(2x + 5)(x - 4)

Binomial Distribution: FOIL rap
First, Outer, Inner, Last
Binomial times binomial

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