Question

How do you simplify `(3x^2+17x-6)/(x^3-36x)`?

Answer 1

`(3x^2+17x-6)/(x^3-36x)=(3x-1)/(x(x-6))`

Explanation:

First of all you are going to need to factorise both numerator and denominator.

`(3x^2+17x-6)/(x^3-36x)=((3x-1)(x+6))/(x(x-6)(x+6))`

Then you will be able to cancel out the common factor of x+6 which yields:

`(3x^2+17x-6)/(x^3-36x)=(3x-1)/(x(x-6))`