Сократите уравнение [latex]( m+3 - \frac{ m^{2} }{m-3} ) / \frac{18}{ m^{2}-6m+9 } [/latex]

[latex]( m+3- \frac{m^{2}} {m-3}) : \frac{18}{m^{2}-6m+9}=( \frac{m+3}{1}- \frac{m^{2}} {m-3}) : \frac{18}{(m-3)^{2}}= \\ =\frac{(m+3)(m-3)-m^{2}}{m-3} : \frac{m^{2}} {m-3} = \frac{m^{2}-9-m^{2}}{m-3} : \frac{m^{2}} {m-3} = \\ =\frac{9}{m-3} : \frac{m^{2}}{m-3} = \\ =\frac{9}{m-3} * \frac{m-3}{m^{2}} = \frac{9}{m^{2}}.[/latex]