Question

Answer 1

\(=\dfrac{x}{\left(x-2\right)\left(x+2\right)}-\dfrac{2}{x-2}+\dfrac{1}{x+2}\)

\(=\dfrac{x}{\left(x-2\right)\left(x+2\right)}-\dfrac{2\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{x-2}{\left(x-2\right)\left(x+2\right)}\)

\(=\dfrac{x-2x-4+x-2}{\left(x-2\right)\left(x+2\right)}\)

\(=\dfrac{x-2x+x-4-2}{\left(x-2\right)\left(x+2\right)}\)

\(=\dfrac{-6}{\left(x-2\right)\left(x+2\right)}\)

Answer 2

\(=\dfrac{x-2x-4+x-2}{\left(x+2\right)\left(x-2\right)}=\dfrac{-6}{\left(x+2\right)\left(x-2\right)}\)