Question

perform the operations and simplify
(x+y)-2x(x-y)/(x+y)(x-y)

Answer 1

((x+y)/(x+y)(x-y)) - (2x(x-y)/(x+y)(x-y))
(1/(x-y)) - (2x/(x+y))
I think this is simple enough, isn't it?

Answer 2

think we h ave a common factor top and bottom yes?

Answer 3

It does not make since

Answer 4

or is it : (x+y) - (2x(x-y)/(x+y)(x-y))
((x+y) - (2x/(x+y))

Answer 5

\[\frac{(x+y)-2x(x-y)}{(x+y)(x-y)}\]

Answer 6

is that it?

Answer 7

It is (x+y)-2x+(x-y)/(x+y)(x-y). I am stuck on the numerator

Answer 8

multiply out and get
\[\frac{x+y-2x^2+2xy}{(x+y)(x-y)}\]

Answer 9

why multiply when this is adding and subtracting

Answer 10

or just leave it. there is nothing more you can do with it

Answer 11

maybe i am not sure what the question is. is it the one i posted?

Answer 12

I need to simplify this equation and I am not sure if it is simplified the way it is

Answer 13

well
\[\frac{(x+y)-2x(x-y)}{(x+y)(x-y)}=\frac{x+y-2x^2+2xy}{(x+y)(x-y)}\] but there is really nothing more you can do with it. nothing factors, nothing cancels

Answer 14

Does it make a difference that there should be a + sign between the -2x and the (x-y)