SOLUTION: Find the following product. (x - 9)(x - 8)

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Question 102528: Find the following product.
(x - 9)(x - 8)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

%28x-9%29%28x-8%29

When you FOIL, you multiply the terms in this order:
F-First (i.e. you multiply the first terms in each parenthesis which in this case are x and x)
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are x and -8)
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are -9 and x)
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are -9 and -8)


So lets multiply the first terms:
x%2Ax=x%5E2 multiply x and x to get x%5E2



So lets multiply the outer terms:
x%2A-8=-8x multiply x and -8 to get -8x



So lets multiply the inner terms:
-9%2Ax=-9x multiply -9 and x to get -9x



So lets multiply the last terms:
-9%2A-8=72 multiply -9 and -8 to get 72

Now lets put all the multiplied terms together
x%5E2-8x-9x%2B72

Now combine like terms

x%5E2-17x%2B72

So the expression

%28x-9%29%28x-8%29

FOILs to:

x%5E2-17x%2B72