簡約 (2/(x-1))^3-(2/(x-1))^2-2(2/(x-1))-1

解

簡約

(\frac{2}{x - 1})^{3} - (\frac{2}{x - 1})^{2} - 2 (\frac{2}{x - 1}) - 1

\frac{8}{( x - 1 ) ^{3}} - \frac{4}{( x - 1 ) ^{2}} - \frac{4}{x - 1} - 1

解答ステップ

(\frac{2}{x - 1})^{3} - (\frac{2}{x - 1})^{2} - 2 (\frac{2}{x - 1}) - 1

規則を適用する:

(a) = a

(\frac{2}{x - 1}) = \frac{2}{x - 1}

= (\frac{2}{x - 1})^{3} - (\frac{2}{x - 1})^{2} - 2 \cdot \frac{2}{x - 1} - 1

(\frac{2}{x - 1})^{3} = \frac{8}{( x - 1 ) ^{3}}

(\frac{2}{x - 1})^{2} = \frac{4}{( x - 1 ) ^{2}}

2 \cdot \frac{2}{x - 1} = \frac{4}{x - 1}

= \frac{8}{( x - 1 ) ^{3}} - \frac{4}{( x - 1 ) ^{2}} - \frac{4}{x - 1} - 1