Multiply Binomials When Coefficient is NOT One and with Multiple Variables

Multiply Binomials When Coefficient is NOT One - How it Works - Video

Example 1

Example 1:

When we distribute two binomials, one method is use the FOIL method. F is for the first terms in each parenthesis. O is for the second terms in each parenthesis. I is for the second term in the first parenthesis and the first term in the second parenthesis. L is for the second term in the first parenthesis and the second term in the second parenthesis.

For F we multiply the 2x and x => x².

For O we multiply the 2x and 5 => 10x.

For I we multiply the 1 and x => 1x.

For L we multiply the 1 and 5 => 5.

Now we have 2x² + 10x + 1x + 5. Let's combine any like times and in this case we have 10x + 1x => 11x.

So our final answer is 2x² + 11x + 5.

Example 2

Example 2:

When we distribute two binomials, one method is use the FOIL method. F is for the first terms in each parenthesis. O is for the second terms in each parenthesis. I is for the second term in the first parenthesis and the first term in the second parenthesis. L is for the second term in the first parenthesis and the second term in the second parenthesis.

For F we multiply the 3x² and 5x => 15x³.

For O we multiply the 3x² and 6 => 18x².

For I we multiply the -4 and 5x => -20x.

For L we multiply the -4 and 6 => -24.

Now we have 15x³ + 18x² - 20x - 24. We don't have any like terms.

So our final answer is 15x³ + 18x² - 20x - 24.

Example 3

Example 3:

When we distribute two binomials, one method is use the FOIL method. F is for the first terms in each parenthesis. O is for the second terms in each parenthesis. I is for the second term in the first parenthesis and the first term in the second parenthesis. L is for the second term in the first parenthesis and the second term in the second parenthesis.

For F we multiply the 2xy² and 4y => 8xy³.

For O we multiply the 2xy² and -5 => -10xy².

For I we multiply the 3 and 4y => 12y.

For L we multiply the 3 and -5 => -15.

Now we have 8xy³ - 10xy² + 12y - 15. We don't have any like terms.

So our final answer is 8xy³ - 10xy² + 12y - 15,

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