SOLUTION: combine and simplify a^2/x-1 - a^2/x+1 Thank you

Algebra.Com
Question 20898: combine and simplify
a^2/x-1 - a^2/x+1
Thank you

Found 2 solutions by rapaljer, philberg99:
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
There are actually two ways to interpret this problem, and I noticed that in my first attempt, I missed it both ways!! It is my privilege in algebra.com to be able to correct my errors!! I should be so fortunate in the rest of my life!!!

First interpretation: . This was the way I was interepreting it when I first saw this problem, and I missed it. Interpreted this way, EVERYTHING subtracts out, and the answer would be 0.

However, now that I look at it again, I think the question was meant to be , which would require a common denominator of . You can make this problem slightly EASIER by factoring out a common factor of before doing the LCD.


NOW, do the LCD:








Does that look better than what I originally posted? Sorry about that!!

R^2 at SCC

Answer by philberg99(10)   (Show Source): You can put this solution on YOUR website!
NO! NO! NO!
You need a common denominator.
-
-
-
Now we can subtract the numerators because the denominators are the same. This gives us

RELATED QUESTIONS

divide and simplify x^2-4 /x-2 divide 1/x^2-x thank... (answered by mangopeeler07)
add and simplify 1 + x-1 -----+ ------- x+2 + x-2 thank you (answered by ankor@dixie-net.com)
Combine into a single logarithm:... (answered by lwsshak3)
simplify the expression. 1) (-x)^2(-x)^5 Thank... (answered by Alan3354)
How do you Combine logs? Log(base5)(x^2-1)-Log(base5)(x-1) (answered by orca)
please help simplify: 2/x^2 + 1/x ——————— x + 27/x^2 Thank... (answered by greenestamps)
Perform the operations and simplify: 1/(x-y)-2x/(x^2-y^2 )+1/(x+y) Please help, thank... (answered by Fombitz)
help please and thank you simplify by removing factors of 1... (answered by haileytucki)
Simplify (1/2)^2 and (1/2)^-2 Thank... (answered by rfer)