SOLUTION: Preform the indicated operation. Reduce 56.) 3/x+1+2/x-1

Question 163904This question is from textbook Elementary and Intermediate
: Preform the indicated operation. Reduce
56.) 3/x+1+2/x-1 This question is from textbook Elementary and Intermediate

Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
We have the following fractions:
3/(x + 1) + 2/(x - 1)
Do you recall how to add fraction with different denominators?
For example, if you have 2/3 + 4/5, what is the answer?
You can use the same method for adding regular fractions like 2/3 + 4/5 when adding the two given algebraic fractions.
OUR LCD = (x + 1)(x - 1)
We divide the LCD by each denominator and then we multiply the quotient by each numerator to find the sum.
Can you take it from here?
If not, write back and I will answer the question in full after work.
Your reply:
"I am not sure if I can answer this right or not!"
MY REPLY:
3/(x + 1) + 2/(x - 1)
Our LCD is (x+1)(x-1)
3/(x + 1) times (x+1)(x-1)= 3(x - 1) = 3x - 3
=============================================
2/(x -1) times (x+1)(x-1)= 2(x + 1) = 2x + 1
We now have this fraction over our LCD:
[3x - 3 + 2x + 1]/(x + 1)(x - 1)
We combine like terms in the numerator and that's it.
Final answer: (5x - 2)/(x + 1)(x - 1)

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