SOLUTION: ((x)/(x-4)-(2)/(x+3))/((x^2-4x)/(2x+6)) These problems are giving me a hard time I know you have to get a common denominator and everything but for some reason i get stuck.

Question 22911: ((x)/(x-4)-(2)/(x+3))/((x^2-4x)/(2x+6))
These problems are giving me a hard time I know you have to get a common denominator and everything but for some reason i get stuck.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First of all, congratulations on getting all the parentheses in the right place in typing this problem. If you put 3 sets of set braces before and 3 after this, then your question will be expressed in perfect form for a complex fraction:

Let's just "unstack" the problem and write it like this:
divided by

On the left side, you need to find a common denominator, which is (x-4)(x+3). Multiply the first fraction by , and the second fraction by . It should look like this:
divided by

Now, put down the common denominator for the first fraction; combine numerators to form the first numerator, and invert and factor the second fraction:
times

Combine like terms in the first numerator, divide out the (x+3) factors in the first denominator and the second numerator:
times

This brings (I hope!!) the final answer:

R^2 at SCC

P.S. That was ugly!! Somebody let me know if there might be an error in all of that!!

RELATED QUESTIONS
Solve each equation 3/x-2 + 1/x+2 =12/x2 - 4 I know that I need to find a... (answered by stanbon)

Subtract: (2)/(x^2-4) - (x)/(x-3)(x-2) I know that for this problem you would have to... (answered by jsmallt9)

I am a homeschooling mom. I have come across these problems. I don't understand how it... (answered by ankor@dixie-net.com)

I can not figure out these problems! I have been having such a hard time.... (answered by Alan3354)

log2 18+log2 x-log2 3 the twos are lowercase i am having a hard time doing these... (answered by stanbon)

How to Add by finding a common denominator for following problems: 3+(2)/(x-4) and 2x+... (answered by KMST)

Rational expressions with different denominators 2x/x^2-9+3x/x^2+4x+3 I am confused (answered by stanbon)

Hello, I need some help with factoring. I have a couple of problems that are giving me a... (answered by rfer)

i have 2/x+2/3=1 i have to first find a common denominator for the 2/x and 2/3,yes? so i (answered by ewatrrr)