Question

упростите вырожение 2m-n /2mn : n-2m/m^2-n^2

Answer 1

2m-n/2mn : n-2m/m^2-n^2 = 2m-n/2mn : 2m-n/n^2-n^2 = (2m-n)(m^2-n^2)/2mn(2m-n) = n^2-m^2/2mn = (n-m)(n+m)/2mn

Answer 2

$\frac{2m-n}{2mn} :\frac{n-2m}{m^{2}-n^{2}}=\frac{2m-n}{2mn}*\frac{m^{2}-n^{2}}{-(2m-n)} =-\frac{2m-n}{2mn}*\frac{m^{2} -n^{2}}{2m-n}=-\frac{m^{2}-n^{2}}{2mn}=\frac{n^{2}-m^{2}}{2mn}$