SOLUTION: Multiply (x^4 – 4x^2 – 5)(x^2 – x + 2)

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Question 219532: Multiply
(x^4 – 4x^2 – 5)(x^2 – x + 2)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29 Start with the given expression.


x%5E4%28x%5E2-x%2B2%29-4x%5E2%28x%5E2-x%2B2%29-5%28x%5E2-x%2B2%29 Expand.


%28x%5E4%29%28x%5E2%29%2B%28x%5E4%29%28-x%29%2B%28x%5E4%29%282%29%2B%28-4x%5E2%29%28x%5E2%29%2B%28-4x%5E2%29%28-x%29%2B%28-4x%5E2%29%282%29%2B%28-5%29%28x%5E2%29%2B%28-5%29%28-x%29%2B%28-5%29%282%29 Distribute.


x%5E6-x%5E5%2B2x%5E4-4x%5E4%2B4x%5E3-8x%5E2-5x%5E2%2B5x-10 Multiply.


x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10 Now combine like terms.


So %28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29 expands to x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10.


In other words, %28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29=x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10.