SOLUTION: Simplify: 4x-12/x^2-5x+6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: 4x-12/x^2-5x+6       Log On


   



Question 1033526: Simplify: 4x-12/x^2-5x+6

Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
simplify 4x-12%2Fx%5E2-5x%2B6
you can do this:
-%28x%5E3-6+x%5E2%2B12%29%2Fx%5E2
or this:
-12%2Fx%5E2-x%2B6

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Simplify: 4x-12/x^2-5x+6
~~~~~~~~~~~~~~~~~~~~~~~~~~~

1.  Factor the numerator:  4x - 12 = 4*(x-3).

2.  Factor the denominator:  x%5E2-5x%2B6 = (x-3)*(x-2).

3.  The numerator and denominator have a common factor (x-3).
    Cancel it.

4.  You will get 4%2F%28x-2%29.
    It is your answer.