Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Combining Fractions
Replies: 2   Last Post: Jun 20, 2013 5:19 AM

 Messages: [ Previous | Next ]
 Jimmy Posts: 3 From: AZ Registered: 6/17/13
Combining Fractions
Posted: Jun 18, 2013 4:24 AM

Hello,
I'm trying to solve a problem but I can't seem to get the answer correct.

The problem is:
((x+y)/(x-y)) + (1/(x+y)) - ((x^2+y^2)/(y^2-x^2))

When I try to solve the problem, first thing I do is flip the sign of the last fractions numerator to flip the denominator so I can have a LCD.

((x+y)/(x-y)) + (1/(x+y)) + ((x^2+y^2)/(x^2-y^2))

Then I apply the LCD:

((x+y)(x-y)) + x+y + (x^2+y^2)) / x^2-y^2

Then simplify terms:

x^2-y^2 + x+y + (x^2+y^2)) / x^2-y^2

Then I eliminate the x^2-y^2 from the equation:

x+y + (x^2+y^2)

I know this is grossly incorrect, I tried several different ways of solving this problem and I'm not even close. Any help will be appreciated.

Date Subject Author
6/18/13 Jimmy
6/18/13 grei
6/20/13 Jimmy