Question

Упростите: ((2-m)/(2+m)-(m+2)/(m-2)):((2+m)/(2-m)-(m-2)/(m+2))

Answer 1

$( frac{2-m}{2+m} - frac{m+2}{m-2} ):( frac{2+m}{2-m} - frac{m-2}{m+2} )= frac{-m^2+4m-4-m^2-4m-4}{(2+m)(m-2)} : frac{-4m+m^2+m^2+4m+4+4}{(2-m)(m+2)}$=$frac{-(2m^2+8)}{(2+m)(m-2)} * frac{(2-m)(m+2)}{2m^2+8} =1$