[tex] = ( \frac{ {x}^{2} + 2 - x \times (x + 2) }{ {(x + 2)}^{2} } ) \div ( \frac{x + 2 - 3}{(x - 2) \times (x + 2)} )[/tex]
[tex] \frac{ - 2x + 2}{ {(x + 2)}^{2} } \div \frac{x - 1}{(x - 2) \times (x + 2)} [/tex]
[tex] \frac{ - 2}{x + 2} \times (x + 2)[/tex]
[tex] - \frac{2x - 4}{x + 2} = \frac{4 - 2x}{x + 2} [/tex]