SOLUTION: Simplify the following fraction, if already simplified, say so. 10x^2 - 30x + 20 ___________ ____ x^2 -1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the following fraction, if already simplified, say so. 10x^2 - 30x + 20 ___________ ____ x^2 -1      Log On


   

Question 286802: Simplify the following fraction, if already simplified, say so.
10x^2 - 30x + 20
________________
x^2 -1
Found 3 solutions by Alan3354, nyc_function, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the numerator and denominator.
Cancel whatever you can.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Divide through by 10 in the numerator to get x^2 - 3x + 2.
Then factor numerator to get (x - 1) (x - 2).
Now factor denominator to get (x - 1)(x + 1).
Cancel out common factors on the top and bottom and
the answer is: (x - 2)/(x + 1).

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

(10x^2 - 30x + 20)/(x^2 -1)
%2810%2A%28x-2%29%29%2F%28x%2B1%29
You can't just throw away the ten as the new tutor did.