Question 452983
Preform operations and simplify:
{{{(1)/(x-y)}}}-{{{(2x)/(x^2-y^2)}}}+{{{(1)/(x+y)}}} 
Factor the dif of squares
{{{(1)/(x-y)}}}-{{{(2x)/((x+y)(x-y))}}}+{{{(1)/(x+y)}}}
: 
The common denominator is (x+y)(x-y), therefore we have
{{{((x+y)-2x+(x-y))/((x+y)(x-y))}}} = {{{(x+y-2x+x-y)/((x+y)(x-y))}}}
:
Combine like terms in the numerator
{{{(x - 2x + x + y - y)/((x+y)(x-y))}}}
:
which is
{{{0/((x+y)(x-y))}}} = 0