Question

Упростите выражение $frac{8c n^{2} }{ c^{2}-n^{2} } * frac{n+c}{4n} - frac{2 n^{2} }{c-n}$

Answer 1

$frac{8cn^2}{c^2-n^2}* frac{n+c}{4n}- frac{2n^2}{c-n}= frac{8cn^2(c+n)}{4n(c-n)(c+n)}- frac{2n^2}{c-n}= frac{2cn}{c-n}-frac{2n^2}{c-n}= frac{2cn-2n^2}{c-n}=\\= frac{2n(c-n)}{c-n}=2n$