Question

Упростите выражение...

Answer 1

$frac{2x-4}{ x^{2} +12x+36} : frac{8x-16}{ x^{2} -36} = frac{2*(x-2)}{ (x+6)^{2} } : frac{8(x-2)}{(x-6)(x+6)} = \ \ frac{2*(x-2)}{ (x+6)^{2} } * frac{(x-6)(x+6)}{8*(x-2)} = frac{2*(x-2)*(x+6)(x-6)}{8*(x+6)(x+6)(x-2)}= \ \ = frac{x-6}{4*(x+6)}$