SOLUTION: Hi, I have a question! If (x-1)(x^2-4)+2(x-1)(x+2)=(x-1)P, then P= (A) x^2-2 (B) x^2 (C) x(x+2) (D) x^2+2 (E) (x+2)^2 I know that the answer is C, but I am confused at

Question 604723: Hi, I have a question!
If (x-1)(x^2-4)+2(x-1)(x+2)=(x-1)P, then P=
(A) x^2-2
(B) x^2
(C) x(x+2)
(D) x^2+2
(E) (x+2)^2
I know that the answer is C, but I am confused at a certain step...
So I got to:
(x+2)(x-2)+2(x+2)=P
but how do I go from that to:
x(x+2)
Thanks!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If:
Solve for P: First, factor (x-1) on the left side.
Divide both sides by (x-1)
Simplify.
and so...
Factor an x.

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