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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Remove parentheses:

(a) = a, - (- a) = a

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

Divide the numbers:

\frac{2}{2} = 1

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

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

\frac{12 ( s + 3 )}{s ( s ^{2} + 4 s + 5 )}

\frac{9 x + 21}{( x + 2 ) ( x + 5 )}

(\frac{- y ^{2} + 5}{2 y})^{2}

\frac{3 ( x + 3 )}{x ^{2} + 5 x - 6}

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