Question

упростите выражение (n+1/n^2+4n+4 - n-1/n^2-4) : 2n/(n+2)^2

Answer 1

$( frac{n+1}{ n^{2} +4n+4}- frac{n-1}{ n^{2} -4} ): frac{2n}{(n+2) ^{2} }=( frac{n+1}{(n+2) ^{2} } - frac{n-1}{(n-2)(n+2)} ): frac{2n}{(n+2) ^{2} }=$$frac{(n+1)(n-2)-(n-1)(n+2)}{(n+2) ^{2}(n-2) }: frac{2n}{(n+2) ^{2} } = frac{ n^{2}-2n+n-2- n^{2}-2n+n+2}{(n+2) ^{2}(n-2) }* frac{(n+2) ^{2} }{2n} =$$frac{-2n}{n-2}* frac{1}{2n}= frac{1}{2-n}$

Answer 2

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