SOLUTION: simplify: (x-5)(x^2-3x-2)

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Question 153107: simplify:
(x-5)(x^2-3x-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-5%29%28x%5E2-3x-2%29 Start with the given expression.


x%28x%5E2-3x-2%29-5%28x%5E2-3x-2%29 Expand.


Distribute.


x%5E3-3%2Ax%5E2-2%2Ax-5%2Ax%5E2%2B15%2Ax%2B10 Multiply.


x%5E3-8%2Ax%5E2%2B13%2Ax%2B10 Now combine like terms.


So %28x-5%29%28x%5E2-3x-2%29 expands to x%5E3-8%2Ax%5E2%2B13%2Ax%2B10.


In other words, %28x-5%29%28x%5E2-3x-2%29=x%5E3-8%2Ax%5E2%2B13%2Ax%2B10.