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

Answer:

$\frac{-x+5}{6x^2-x-12}}$

Step-by-step explanation:

$\frac{4x+5}{6x^2-x-12} - \frac{5x}{6x^2-x-12}$

To subtract fractions the denomintors should be same

Here the denominator are same

so we combine the numerators and put denominator only once

$\frac{4x+5-5x}{6x^2-x-12}}$

Combine like terms

$\frac{-x+5}{6x^2-x-12}}$