# FOIL METHOD EXAMPLES WITH ANSWERS

Foil method examples with answers :

Here we are going to see how to use FOIL method to multiply two binomials.

Example 1 :

Multiply (2x - 3) (3x + 5)

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

 F O I L

Step 2 :

Combining the terms

=  6x2 + 10x - 9x -15

=  6x2 + 1x - 15

Hence the product of the above binomials is 6x2 + x - 15

Example 2 :

Multiply (3x - 1) (x - 3)

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

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

Step 2 :

Combining the terms

=  3x2 - 9x - x + 3

=  3x2 - 10x + 3

Hence the product of the above binomials is 3x2 - 10x + 3

Example 3 :

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

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

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

Step 2 :

Combining the terms

=  9x2 - 6x + 9x - 6

=  9x+ 3x - 6

Hence the product of the above binomials is 9x+ 3x - 6

Example 4 :

Multiply (x - 4) (x - 7)

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

=  (x - 4) (x - 7)

 F =  x (x)  =  x(1+1) = x2 O =  x (-7)  =  -7x I =  -4(x)  =  -4x L =  -4(-7)=  28

Step 2 :

Combining the terms

=  x2 - 7x - 4x + 28

=  x2 - 11x + 28

Hence the product of the above binomials is  x- 11x + 28

Example 5 :

Multiply (8x - 1) (5x + 3)

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

=  (8x - 1) (5x + 3)

 F =  8x (5x)  =  40x(1+1) = 40x2 O =  8x (3)  =  24x I =  -1(5x)  =  -5x L =  -1(3)=  -3

Step 2 :

Combining the terms

=  40x2 + 24x - 5x - 3

=  40x2 + 19x - 3

Hence the product of the above binomials is  40x2+19x-3

Example 6 :

Multiply (x - 1)(2x - 2)

Solution :

Here we use FOIL method to multiply the above binomials.

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

Hence the product of the above binomials is 2x2 - 4x + 2

Example 7 :

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

Solution :

Here we use FOIL method to multiply the above binomials.

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

Hence the product of the above binomials is 4x2 - 9

Example 8 :

Multiply (x + 1)(x - 3)

Solution :

Here we use FOIL method to multiply the above binomials.

Step 1 :

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

Step 2 :

Combining the terms

=  x2 - 3x + x - 3

=  x2 - 2x - 3

Hence the product of the above binomials is  x2 - 2x - 3

After having gone through the stuff given above, we hope that the students would have understood "Foil method examples with answers".

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