SOLUTION: i need help adding this rational expression with unlike denominators: 6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x do you first multiply three minus four x times four x minus three

Question 109434This question is from textbook
: i need help adding this rational expression with unlike denominators:
6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x do you first multiply three minus four x times four x minus three This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x
--------------
Change 4x-3 = -(3-4x) so all the denominators will be the same:
Then use that "-"to change the sign of the fraction:

6(4x-3)/(3-4x) + 4(3-x)/(3-4x) + -8(x+2)/(3-4x)
-------
Combine the numerators over the common denominator of 3-4x:
[24x-18+12-4x-8x-16]/(3-4x)
Simplify the numerator:
= [12x-22]/(3-4x)
=============
Cheers,
Stan H.

RELATED QUESTIONS
Hi I need help with adding and subtracting with unlike denominators. If you can do these... (answered by jim_thompson5910,cathieb1225)

Hi I need help with adding and subtracting with unlike denominators. I have a couple... (answered by checkley75)

I need help dividing this equation. (x^3 - 4x^2 + 5x - 6) / (x - 3) I tried doing... (answered by jim_thompson5910)

I need help with learning how to simplify a rational expression... 2x^+2x^2-4x... (answered by stanbon)

I need help on this question... (answered by jsmallt9)

I need help please 6x+5=3x+6 5x+8=x+5 9x+1=3x-4 2x-3=6x-4 3/4x+2=1/4x-9 (answered by checkley75)

I don't understand adding and subtracting fractions with unlike denominators. Here is... (answered by rfer)

i need a little help with adding or subtracting unlike rational expressions... (answered by fractalier)

How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont... (answered by Earlsdon)