Question

Сократите дробь m^2 - n^2 - km + kn k^2 - km - mn - n^2

Answer 1

$\frac{m^2-n^2-km+kn}{k^2-km-mn-n^2}=\frac{(m^2-n^2)-(km-kn)}{(k^2-n^2)-(km+mn)}=\\\ =\frac{(m-n)(m+n)-k(m-n)}{(k-n)(k+n)-m(k+n)}=\frac{(m-n)(m+n-k)}{(k+n)(k-n-m)}=\\\ =-\frac{(m-n)(m+n-k)}{(k+n)(m+n-k)}=-\frac{m-n}{k+n}=\frac{n-m}{k+n}$