簡約-4x^{-3}+8x^{-2}-5x^{-1}+1

解

簡約

- 4 x^{- 3} + 8 x^{- 2} - 5 x^{- 1} + 1

- \frac{4}{x ^{3}} + \frac{8}{x ^{2}} - \frac{5}{x} + 1

解答ステップ

- 4 x^{- 3} + 8 x^{- 2} - 5 x^{- 1} + 1

x^{- 3} = \frac{1}{x ^{3}}

x^{- 2} = \frac{1}{x ^{2}}

5 x^{- 1} = 5 \cdot \frac{1}{x}

= - 4 \cdot \frac{1}{x ^{3}} + 8 \cdot \frac{1}{x ^{2}} - 5 \cdot \frac{1}{x} + 1

- 4 \cdot \frac{1}{x ^{3}} = - \frac{4}{x ^{3}}

8 \cdot \frac{1}{x ^{2}} = \frac{8}{x ^{2}}

5 \cdot \frac{1}{x} = \frac{5}{x}

= - \frac{4}{x ^{3}} + \frac{8}{x ^{2}} - \frac{5}{x} + 1