SOLUTION: Hello everyone. I was hoping someone could show me how to do the following. Write (1 / (x - 3)) - (4 / (x - 2)) as a single fraction with no common factors. Steps and explanatio

Question 204046: Hello everyone. I was hoping someone could show me how to do the following. Write
(1 / (x - 3)) - (4 / (x - 2))
as a single fraction with no common factors.
Steps and explanations would be nice.
Thanks, -nick.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write
(1 / (x - 3)) - (4 / (x - 2))
as a single fraction with no common factors.
--------------------------------------------
lcd = (x-3)(x-2)
------------------------------
Write each fraction with the lcd as its denominator:
---
(x-2)/lcd - [4(x-3)]/lcd
---
Combine the numerators over the lcd:
[x-2 -4(x-3)]/lcd
Simplify:
[-3x +10]/[x-3)(x-2)]
==============================
Cheers,
Stan H.
RELATED QUESTIONS
Hi all, I was hoping someone could show me how to do the following: I need to express... (answered by alicealc,Alan3354)

Hi guys, im just doin some revision at the moment and cant seem to do the following... (answered by RAY100)

Hello everyone, I have about 5 or so graph problems like the following. Ive managed to do (answered by vleith)

Hello everyone, I have about 5 or so graph problems like the following. Ive managed to do (answered by Alan3354)

Hi all, I was hoping someone could help me answer the followingl; I need to show that the (answered by Alan3354)

Hello. I was hoping you could please help me. I need some help with graphing f: x -->... (answered by Fombitz)

Hi all, I was hoping someone could show me how to solve the following for the give... (answered by ichudov,alicealc)

Hi guys, was hoping someone could help me with the following 2 similiar problems: For... (answered by checkley77)

Hi all, I am having some trouble with vectors at the moment, I was hoping someone could... (answered by Alan3354)