SOLUTION: How do I expand the following to include all stages: 2 (x+2)(x + 7) Hope you can help me.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: How do I expand the following to include all stages: 2 (x+2)(x + 7) Hope you can help me.       Log On


   

Question 160757: How do I expand the following to include all stages:
2
(x+2)(x + 7)
Hope you can help me.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the FOIL method (First, Outer, Inner, Last).
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First:%28highlight%28x+%29%2B2%29+%28highlight%28x+%29%2B7%29=x%2Ax=x%5E2
Outer:%28highlight%28+x%29%2B2%29+%28x%2Bhighlight%287+%29%29=7%2Ax
Inner:%28x%2Bhighlight%28+2%29%29+%28highlight%28x+%29%2B7%29=2%2Ax
Last:%28x%2Bhighlight%28+2%29%29+%28x%2Bhighlight%28+7%29%29=2%2A7=14
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Sum all of the terms,
%28x%2B2%29%28x%2B7%29=x%5E2%2B7%2Ax%2B2%2Ax%2B14
%28x%2B2%29%28x%2B7%29=x%5E2%2B9%2Ax%2B14