SOLUTION: factorize x^3 -x^2 +ax+x-a

SOLUTION: factorize x^3 -x^2 +ax+x-a - 1. thanks

Question 154125: factorize x^3 -x^2 +ax+x-a - 1. thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Regroup the terms. This is not the only way to group them, but notice how the first two groups have something in common.

Factor out the GCF from the first group. Factor out the GCF from the second group.

Since we have the common term , we can combine like terms. Note:

So factors to

If you want to, you can expand to get to verify your answer.
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