Question

сократите уравнение

$( m+3 - frac{ m^{2} }{m-3} ) / frac{18}{ m^{2}-6m+9 }$

Answer 1

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