SOLUTION: Factor the expression: (x-1)^3+1 This is as far as I got: (x-1) (x-1) (x-1)+1 Then I tried to factor by grouping the four terms x-1(1) 1(x-1) I'm lost.

Question 458433: Factor the expression:
(x-1)^3+1
This is as far as I got:
(x-1) (x-1) (x-1)+1
Then I tried to factor by grouping the four terms
x-1(1) 1(x-1)
I'm lost.
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(x-1)* (x-1) *(x-1)+1
You have to multiply it out all the way and add terms before you can factor
x^3-3x^2+3x
x*(x^2-3x+3)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Factor the expression:
(x-1)^3+1
---------
It's the sum of 2 cubes.
Sub y for x-1
-------

then sub x-1 for y
=
=

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