Question

What is the simplified form of x-5/x^2-3x-10*x+2/x^2+x-12

Answer 1

Collect like terms
(X-3x-10x+x) + (-5/x^2+2/x^2)-12

Then simplify
-11x-3/x^2-12

Let me know if that helped thanks

Answer 2

I assume you mean this, even though what you wrote means something else because you did not use parentheses.


`(x-5)/(x^2 - 3x - 10) * (x + 2)/(x^2 + x - 12) =`

Factor each factorable polynomial.


`=(x-5)/((x - 5)(x + 2)) * (x + 2)/((x + 4)(x - 3))`

Now divide the numerator and denominator by the equal terms to reduce the fraction. This is what is normally called canceling factors.


`=(1)/(1) * (1)/((x + 4)(x - 3))`


`=(1)/((x + 4)(x - 3))`