Упростите выражение [tex] \frac{8c n^{2} }{ c^{2}-n^{2} } * \frac{n+c}{4n} - \frac{2 n^{2} }{c-n} [/tex]. Created by Ученик112233. algebra-ru

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Упростите выражение [tex] \frac{8c n^{2} }{ c^{2}-n^{2} } * \frac{n+c}{4n} - \frac{2 n^{2} }{c-n} [/tex]

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

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