Question

Qual resultado ?

X^2+6x/x . X-6/x^2+12x+36

Answer 1

$\frac{x^2~+~6x}{x} ~*~ \frac{x-6}{x^2~+~12x~+~36} = \\ \\ \frac{x*(x+6)}{x} ~*~\frac{(x~-~6)}{(x~+~6)^2} = \\ \\ x+6~*~ \frac{(x~-~6)}{(x~+~6)^2} = \\ \\ \\ \boxed{\frac{x~-~6}{x~+~6} }$