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.

Algebra ->  Distributive-associative-commutative-properties -> 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.      Log On


   



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) About Me  (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) About Me  (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
-------
y%5E3+%2B+1+=+%28y%2B1%29%2A%28y%5E2+-+y+%2B+1%29
then sub x-1 for y
= x%2A%28%28x-1%29%5E2+-+%28x-1%29+%2B+1%29
= x%2A%28x%5E2+-+3x+%2B+3%29