What is expand (x(x-5)(x-8))/2 ?

The solution to expand (x(x-5)(x-8))/2 is (x^3)/2-(13x^2)/2+20x

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expand (x(x-5)(x-8))/2

expand

\frac{x ( x - 5 ) ( x - 8 )}{2}

\frac{x ^{3}}{2} - \frac{13 x ^{2}}{2} + 20 x

Solution steps

\frac{x ( x - 5 ) ( x - 8 )}{2}

Expand

x (x - 5) (x - 8) : x^{3} - 13 x^{2} + 40 x

= \frac{x ^{3} - 13 x ^{2} + 40 x}{2}

Apply the fraction rule:

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

\frac{x ^{3} - 13 x ^{2} + 40 x}{2} = \frac{x ^{3}}{2} - \frac{13 x ^{2}}{2} + \frac{40 x}{2}

= \frac{x ^{3}}{2} - \frac{13 x ^{2}}{2} + \frac{40 x}{2}

Divide the numbers:

\frac{40}{2} = 20

= \frac{x ^{3}}{2} - \frac{13 x ^{2}}{2} + 20 x

\frac{1}{s ( s ^{2} + s + 1 )}

\frac{e ^{x} ( 1 - cos ( x ) )}{x}

m (- n) + mn

(y + 3 x) d x + x d y

\frac{x + 3}{( x - 7 ) ( x + 2 )}

What is expand (x(x-5)(x-8))/2 ?
The solution to expand (x(x-5)(x-8))/2 is (x^3)/2-(13x^2)/2+20x