Question

I need to simplify this equation
1-((x-2)/(4-x^2))-((2-x)/(x^2-4))

Answer 1

http://www.wolframalpha.com/input/?i=1-%28%28x-2%29%2F%284-x%5E2%29%29-%28%282-x%29%2F%28x%5E2-4%29%29
easier to read it there

Answer 2

can u simplify x^2-4
its difference of squares
\(\huge a^2-b^2=(a+b)(a-b)\)

Answer 3

yea
I did that, but I didn't see what to do next

Answer 4

show your steps, where are you stuck ?

Answer 5

did u get 1+1/(x+2) +1/(x+2) ?

Answer 6

...nope
hold on I'm typing in my steps in wolfram so that I can show you where I got

Answer 7

First I put it on a common division
http://www.wolframalpha.com/input/?i=1-%28%28x%5E2-4%29%28x-2%29-%284-x%5E2%29%282-x%29%29%2F%28%284-x%5E2%29%28x%5E2-4%29%29
and then:
http://www.wolframalpha.com/input/?i=1-%282%28x-2%29%28x%2B2%29-2%282-x%29%282%2Bx%29%29%2F%28%282-x%29%282%2Bx%29%28x-2%29%28x%2B2%29%29

and I see now that the graphs are different, but I don't know where the error is

Answer 8

if i may suggest an alternative easier method, don't put a common division from the beginning,
you can simplify (x-2) / (4-x^2)
by writing 4-x^2 as ?

Answer 9

(2-x)(2+x)

Answer 10

oh yeah, now I see it
thanks

Answer 11

yes, then
(x-2)/(2-x)(2+x) would equal ?
oh, ok.... ask if u still have doubts in further steps.....