What is expand-1/2 x^2+2x-3/2+1/3 (x-1)^3 ?

The solution to expand-1/2 x^2+2x-3/2+1/3 (x-1)^3 is -(3x^2)/2+3x-11/6+(x^3)/3

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expand-1/2 x^2+2x-3/2+1/3 (x-1)^3

expand

- \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}

Solution steps

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

Expand

\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}

Simplify

- \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}

3 e^{3 x} x^{3} ln (x + 1) (x + 1)

- 3 (x - 1 = - 4) x + 20

(- 1 - 37)^{3}

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

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

What is expand-1/2 x^2+2x-3/2+1/3 (x-1)^3 ?
The solution to expand-1/2 x^2+2x-3/2+1/3 (x-1)^3 is -(3x^2)/2+3x-11/6+(x^3)/3