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

The solution to expand (x(10-x^2))/2 is -(x^3)/2+5x

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

expand

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

- \frac{x ^{3}}{2} + 5 x

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{10}{2} = 5

= 5 x - \frac{x ^{3}}{2}

Rewrite in standard form

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

\frac{x A + B + 4 A}{( x - 1 ) ( x - 3 )}

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

- 3 (- 2 cos (x) + 3 cos^{3} (x))

\frac{x + 5}{x ( x + 11 )}

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

What is expand (x(10-x^2))/2 ?
The solution to expand (x(10-x^2))/2 is -(x^3)/2+5x