Question 356911
First simplify, you also need a common denominator for the numerator.
Numerator: LCD:{{{(x+2)(x-2)}}}
{{{x/(x-2)-x/(x+2)=((x(x+2)/((x+2)(x-2)))-(x(x-2))/((x+2)(x-2)))}}}
{{{x/(x-2)-x/(x+2)=(x(x+2)-x(x-2))/((x+2)(x-2)))}}}
{{{x/(x-2)-x/(x+2)=(x^2+2x-x^2+2x)/((x+2)(x-2)))}}}
{{{x/(x-2)-x/(x+2)= (4x)/((x+2)(x-2)))}}}
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Denominator:
 {{{(2x)/(x-2)+x^2/(x-2)=(x^2+2x)/(x-2)}}}
{{{(2x)/(x-2)+x^2/(x-2)=(x(x+2))/(x-2)}}}
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Now put it all together,
{{{(x/(x-2)-x/(x+2))/((2x)/(x-2)+x^2/(x-2))=((4x)/((x+2)(x-2)))*((x-2)/(x(x+2)))}}}
{{{(x/(x-2)-x/(x+2))/((2x)/(x-2)+x^2/(x-2))=highlight(4/(x+2)^2)}}}