Автор - aleks1011

ПОМОЩЬ НУЖНА !!!!!!!!!!!!!!!!!

Ответ

Проверено экспертом

Автор - nafanya2014
8-n³=2³-n³=(2-n)(4+2n+n²)

1) frac{8-n^3}{2+n}:(2+ frac{n^2}{2+n})= frac{8-n^3}{2+n}:( frac{2(2+n)+n^2}{2+n})=  frac{8-n^3}{2+n}:( frac{4+2n+n^2}{2+n})= \  \ =    frac{8-n^3}{2+n}cdot ( frac{2+n}{4+2n+n^2})=  frac{(2-n)(4+2n+n^2)}{2+n}cdot ( frac{2+n}{4+2n+n^2})= 2-n

2) frac{n^2}{n-2}cdot frac{7-n^2}{n^2+2n}=  frac{n^2}{n-2}cdot frac{7-n^2}{n(n+2)}=  frac{n}{n-2}cdot frac{7-n^2}{n+2}=frac{(7-n^2)n}{n^2-4}\ \3)(2-n)-frac{(7-n^2)n}{n^2-4}= frac{(2-n)(n^2-4)-(7-n^2)n}{n^2-4} = frac{2n^2-n^3-8+4n-7n+n^3}{n^2-4} = \ \ = frac{2n^2-3n-8}{n^2-4}



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