SOLUTION: Hello, could you please help me with this factoring equation? x^3-9x+x^2-9 I am supposed to factor this completely. I tried many different combinations, none of which work. H

Question 106817: Hello, could you please help me with this factoring equation?
x^3-9x+x^2-9 I am supposed to factor this completely. I tried many different combinations, none of which work. How do I figure this one out? Thank you, Paul
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x^3-9x+x^2-9 I am supposed to factor this completely:
:
How about this:
:
Rearrange:
x^3 + x^2 - 9x - 9
:
Group factoring
(x^3 + x^2) - (9x + 9);sign changes on the 9
:
x^2(x + 1) - 9(x + 1)
:
Factor out (x+1) and you have:
(x + 1) (x^2 - 9)
:
x^2 - 9 is the difference of squares
:
(x + 1) (x - 3) (x + 3)
:
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