What is expand (x(10x-x^2))/(20) ?

The solution to expand (x(10x-x^2))/(20) is -(x^3}{20}+\frac{x^2)/2

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expand (x(10x-x^2))/(20)

expand

\frac{x ( 10 x - x ^{2} )}{20}

- \frac{x ^{3}}{20} + \frac{x ^{2}}{2}

Solution steps

\frac{x ( 10 x - x ^{2} )}{20}

Expand

x (10 x - x^{2}) : 10 x^{2} - x^{3}

= \frac{10 x ^{2} - x ^{3}}{20}

Apply the fraction rule:

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

\frac{10 x ^{2} - x ^{3}}{20} = \frac{10 x ^{2}}{20} - \frac{x ^{3}}{20}

= \frac{10 x ^{2}}{20} - \frac{x ^{3}}{20}

Cancel

\frac{10 x ^{2}}{20} : \frac{x ^{2}}{2}

= \frac{x ^{2}}{2} - \frac{x ^{3}}{20}

Rewrite in standard form

= - \frac{x ^{3}}{20} + \frac{x ^{2}}{2}

4 ((k + 1) (k + 2) (k + 3))

(1 - x^{2}) y^{''} (x) - 10 x y^{'} (x) - 6 y

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

\frac{1}{s ( s + 5 ) ( s + 10 )}

(2 x - a + 1) (2 x + \frac{1}{5} - 3 a)

What is expand (x(10x-x^2))/(20) ?
The solution to expand (x(10x-x^2))/(20) is -(x^3}{20}+\frac{x^2)/2