Question

How do you simplify `x/ (x^2 - 4) - 2/(x - 2)`?

Answer 1

= `(-1(x +4))/((x-2)(x+2))`

Explanation:

`x/(x^2 - 4) - 2/(x-2)` can be written as

=`x/(x^2 - 2^2) - 2/(x-2)`

= `x/((x - 2)(x+2)) - (2(x+2))/((x-2)(x+2))`

= `(x - 2(x+2))/((x-2)(x+2))`

= `(x - 2x - 4)/((x-2)(x+2))`

= `(-x - 4)/((x-2)(x+2))`

= `(-1(x +4))/((x-2)(x+2))`