MULTIPLYING BINOMIALS USING FOIL METHOD

Two binomials can be multiplied using the FOIL method.

F - First terms

O - Outer terms

I - Inner terms

L - Last terms

Example 1 :

Multiply.

(3x + 2)(x + 3) 

Solution :

Step 1 :

F
O
I
L

Step 2 :

Combining the terms.

  =  3x² + 9x + 2x + 6

  =  3x² + 11x + 6

Example 2 :

Multiply.

(x - 1)(2x - 2) 

Solution :

Step 1 :

Step 2 :

Combining the terms.

  =  2x² - 2x - 2x + 2

  =  2x² - 4x + 2

Example 3 :

Multiply.

(2x + 3)(2x - 3) 

Solution :

Step 1 :

Step 2 :

Combining the terms.

  =  4x² - 6x + 6x - 9

  =  4x² - 9

Example 4 :

Multiply.

(x + 1)(x - 3)

Solution :

Step 1 :

Step 2 :

Combining the terms.

  =  x² - 3x + x - 3

  =  x² - 2x - 3

Example 5 :

Multiply.

(4x + 1)(5x - 8)

Solution :

Step 1 :

Step 2 :

Combining the terms.

  =  20x² - 32x + 5x - 8

  =  20x² - 27x - 8

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