SOLUTION: factor by grouping 7x^3-7x^2-x+1

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Question 195730: factor by grouping
7x^3-7x^2-x+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7x%5E3-7x%5E2-x%2B1 Start with the given expression


%287x%5E3-7x%5E2%29%2B%28-x%2B1%29 Group like terms


7x%5E2%28x-1%29-1%28x-1%29 Factor out the GCF 7x%5E2 out of the first group. Factor out the GCF -1 out of the second group


%287x%5E2-1%29%28x-1%29 Since we have the common term x-1, we can combine like terms


So 7x%5E3-7x%5E2-x%2B1 factors to %287x%5E2-1%29%28x-1%29