展开-1/2 x^2+2x-3/2+1/3 (x-1)^3

解答

展开

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

- \frac{3 x ^{2}}{2} + 3 x - \frac{11}{6} + \frac{x ^{3}}{3}

求解步骤

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

展开

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

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

化简

- \frac{1}{2} x^{2} + 2 x - \frac{3}{2} + \frac{x ^{3}}{3} - x^{2} + x - \frac{1}{3} : - \frac{3 x ^{2}}{2} + 3 x - \frac{11}{6} + \frac{x ^{3}}{3}

= - \frac{3 x ^{2}}{2} + 3 x - \frac{11}{6} + \frac{x ^{3}}{3}

e x p an d 3 e^{3 x} x^{3} ln (x + 1) (x + 1)

e x p an d - 3 (x - 1 = - 4) x + 20

e x p an d (- 1 - 37)^{3}

e x p an d (x - 1) \cdot x^{\frac{x}{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (3 x - y + 3))