SOLUTION: can you help me simplify this problem? (x-2)(x^2-4x+3)

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Question 242938: can you help me simplify this problem?
(x-2)(x^2-4x+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-2%29%28x%5E2-4x%2B3%29 Start with the given expression.


x%28x%5E2-4x%2B3%29-2%28x%5E2-4x%2B3%29 Expand.


Distribute.


x%5E3-4%2Ax%5E2%2B3%2Ax-2%2Ax%5E2%2B8%2Ax-6 Multiply.


x%5E3-6%2Ax%5E2%2B11%2Ax-6 Now combine like terms.


So %28x-2%29%28x%5E2-4x%2B3%29 expands to x%5E3-6%2Ax%5E2%2B11%2Ax-6.


In other words, %28x-2%29%28x%5E2-4x%2B3%29=x%5E3-6%2Ax%5E2%2B11%2Ax-6.