Question

Simplify:

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

A. 18x-19/4x-4
B. x-2/2x-3
C. -x+6/6x^2-x-12
(D.) -x+5/6x^2-x-12?

I think it may be D

Answer 1

4x + 5 5x 4x + 5 - 5x -x + 5
---------------- - ---------------- = ------------------ = -------------------
6x^2 - x - 12 6x^2 - x - 12 6x^2 - x - 12 6x^2 - x - 12

Answer 2

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

Explanation:

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

To subtract fractions the denomintors should be same

Here the denominator are same

so we combine the numerators and put denominator only once

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

Combine like terms

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