SOLUTION: simplify (solve if possible). (x-2) (x) -------- + -------- (x^2+x-12) (x^2-2x-3) the x-2 is over the x^2+x-12 the symbol is a

Algebra ->  Rational-functions -> SOLUTION: simplify (solve if possible). (x-2) (x) -------- + -------- (x^2+x-12) (x^2-2x-3) the x-2 is over the x^2+x-12 the symbol is a       Log On


   

Question 572396: simplify (solve if possible).
(x-2) (x)
-------- + --------
(x^2+x-12) (x^2-2x-3)
the x-2 is over the x^2+x-12
the symbol is a "+" for addition
the x is over the x^2-2x-3
thank you!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)/(x^2+x-12)+x/(x^2-2x-3)=%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29=
I would factor denominators first and see what I can use for a common denominator.
%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29=%28x-2%29%2F%28%28x%2B4%29%28x-3%29%29%2Bx%2F%28%28x-3%29%28x%2B1%29%29 =
Then I would work on the numerator parts leaving the denominators alone (and hoping to be able to simplify the result).
= = %282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29
We can factor the numerator
%282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 = %282x-1%29%28x%2B2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29
Nothing cancels out, so I'll call it fully simplified.