SOLUTION: Please explain the steps to finding the GCF of the following: (I have provided the answer, but do not understand the process to get the correct answer.) (x-1)^3+4(x-1)^2+3(x-1)

Question 69659: Please explain the steps to finding the GCF of the following: (I have provided the answer, but do not understand the process to get the correct answer.)
(x-1)^3+4(x-1)^2+3(x-1)
Answer:x(x-1)(x+2)
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!

[Look for a common factor. Divide each term by the common factor (x-1)]
.
[Cancel-out wherever possible and factor out-the common factor]
.
[Simplify wherever possible. Look for any more common factors. If none, try to simplify.
.

.
[Try to factor-out any common factors, if possible. The common factor is "x", so divide each term by "x"].
.
[Cancel wherever possible. Try to factor again. If unable to factor or simplify any further, the problem is complete.

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