Question

Simplify 4x+5/6x2-x-12 - 5x/6x2-x-12

Answer 1

Simplify 4x+5/6x2-x-12 - 5x/6x2-x-12

Answer 2

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

Explanation:

Given that:

`(4x +5/6x^2 -x-12) - (5x/6x^2-x-12)`

As denominator is same so by subtracting the numerators we get:

`4x+5 -5x/6x^2-x-12\\5-x/6x^2-x-12`

By making factors of the denominator we get:

`5-x/6x^2 +8x -9x -12\\5-x/2x(3x +4) -3(3x+4)\\5-x/(3x+4)(2x - 3)`

Hence it is the simplified form of given question..

I hope it will help you!