[tex] \frac{x - 5}{3x + 6} \div ( \frac{x - 5}{x + 2} )^{2} = \frac{x - 5}{3(x + 2)} \div \frac{(x - 5)^{2} }{( {x + 2})^{2} } = \frac{x - 5}{3(x + 2)} \times \frac{( {x + 2)}^{2} }{ {(x - 5)}^{2} } = \frac{1}{3} \times \frac{x +2 }{x - 5} = \frac{x + 2}{3x - 15} [/tex]
