# 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 :

 F x (2x)  =  2x(1+1)  =  2x2 O x (-2)  =  -2x I -1 (2x)  =  -2x L -1 (-2)  =  2

Step 2 :

Combining the terms.

=  2x2 - 2x - 2x + 2

=  2x2 - 4x + 2

Example 3 :

Multiply.

(2x + 3)(2x - 3)

Solution :

Step 1 :

 F 2x (2x)  =  4x(1+1)  =  4x2 O 2x (-3)  =  -6x I 3 (2x)  =  6x L +3 (-3)  =  -9

Step 2 :

Combining the terms.

=  4x2 - 6x + 6x - 9

=  4x2 - 9

Example 4 :

Multiply.

(x + 1)(x - 3)

Solution :

Step 1 :

 F x (x)  =  x(1+1)  =  x2 O x (-3)  =  -3x I 1 (x)  =  x L +1 (-3)  =  -3

Step 2 :

Combining the terms.

=  x2 - 3x + x - 3

=  x2 - 2x - 3

Example 5 :

Multiply.

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

Solution :

Step 1 :

 F 4x (5x)  =  20x(1+1)  =  20x2 O 4x (-8)  =  -32x I 1 (5x)  =  5x L +1 (-8)  =  -8

Step 2 :

Combining the terms.

=  20x2 - 32x + 5x - 8

=  20x2 - 27x - 8

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