SOLUTION: Multiply: (x2 + 3x – 1)(x2 – x + 2)

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Question 145336: Multiply:
(x2 + 3x – 1)(x2 – x + 2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2+%2B+3x+-+1%29%28x%5E2+-+x+%2B+2%29 Start with the given expression.


x%5E2+%28x%5E2+-+x+%2B+2%29%2B+3x+%28x%5E2+-+x+%2B+2%29-+1%28x%5E2+-+x+%2B+2%29 Expand.


Distribute.


x%5E4-x%5E3%2B2%2Ax%5E2%2B3%2Ax%5E3-3%2Ax%5E2%2B6%2Ax-x%5E2%2Bx-2 Multiply.


x%5E4%2B2%2Ax%5E3-2%2Ax%5E2%2B7%2Ax-2 Now combine like terms.


So %28x%5E2+%2B+3x+-+1%29%28x%5E2+-+x+%2B+2%29 expands to x%5E4%2B2%2Ax%5E3-2%2Ax%5E2%2B7%2Ax-2. In other words, %28x%5E2+%2B+3x+-+1%29%28x%5E2+-+x+%2B+2%29=x%5E4%2B2%2Ax%5E3-2%2Ax%5E2%2B7%2Ax-2.