Question

Упростите выражение (1/n^2-n -1/n2+n): n-2/n^2-1

Answer 1

$displaystyle begin{pmatrix}dfrac1{n^2 -n} -dfrac1{n^2+n} end{pmatrix} :frac{n-2}{n^2 -1} =\ \ =begin{pmatrix}frac1{n(n-1)} ^{(, (n+1)} +frac{-1}{n(n+1)} ^{(, (n-1)} end{pmatrix} cdot frac{n^2 -1}{n-2} =\ \ =frac{n+1-n+1}{nbold{(n-1)(n+1)} } cdot frac{bold{(n-1)(n+1)} }{n-2} =\ \ =frac2{n(n-2)} ={tt frac2{n^2 -2n} }$