Simplify:

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

(uploaded image)

A18x-19/4x-4
Bx-2/2x-3
C-x+6/6x^2-x-12
(D.) -x+5/6x^2-x-12?

I think it may be D

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 class=

Verified Answer :

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:

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

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

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