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How do you mulitply two binomals, for example: (x+6)*(x-6)

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esbooth | Student, Grade 9 | eNotes Newbie

Posted October 4, 2011 at 11:48 AM via web

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How do you mulitply two binomals, for example: (x+6)*(x-6)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted October 4, 2011 at 12:04 PM (Answer #1)

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Two binomials can be multiplied by using the FOIL method. This involves the following steps:

1. Multiply the first terms

2. Multiply the outer terms

3. Multiply the inner terms

4. Multiply the last terms

Illustrating this with the example you have given:

(x + 6)(x - 6) = x*x + x*(-6) + 6*x + 6*-6

When this is simplified we get:

x^2 - 6x + 6x - 36

=> x^2 - 36

The product of (x + 6) and (x - 6) is x^2 - 36

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esbooth | Student, Grade 9 | eNotes Newbie

Posted October 4, 2011 at 12:06 PM (Answer #2)

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thanks

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agvickers | Student, Grade 11 | Honors

Posted October 4, 2011 at 1:33 PM (Answer #3)

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use the FOIL method.....

First

Outside

Inside

Last

for example

(x+6)*(x-6)

go, x * x for the first terms

then outside, x * -6

then inside, 6 * x

then last terms, 6 * -6

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