What is expand (x^2(-x+15))/(250) ?

The solution to expand (x^2(-x+15))/(250) is -(x^3)/(250)+(3x^2)/(50)

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expand (x^2(-x+15))/(250)

expand

\frac{x ^{2} ( - x + 15 )}{250}

- \frac{x ^{3}}{250} + \frac{3 x ^{2}}{50}

Solution steps

\frac{x ^{2} ( - x + 15 )}{250}

Expand

x^{2} (- x + 15) : - x^{3} + 15 x^{2}

= \frac{- x ^{3} + 15 x ^{2}}{250}

Apply the fraction rule:

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

\frac{- x ^{3} + 15 x ^{2}}{250} = - \frac{x ^{3}}{250} + \frac{15 x ^{2}}{250}

= - \frac{x ^{3}}{250} + \frac{15 x ^{2}}{250}

Cancel

\frac{15 x ^{2}}{250} : \frac{3 x ^{2}}{50}

= - \frac{x ^{3}}{250} + \frac{3 x ^{2}}{50}

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

e^{x} (\frac{x}{4} - \frac{e ^{- 2 x}}{8})

\frac{3 ( 4 2 + 3 )}{23}

\frac{1}{s ( s + 3 ) ( s ^{2} + 4 s + 8 )}

202 (3 - 1)

What is expand (x^2(-x+15))/(250) ?
The solution to expand (x^2(-x+15))/(250) is -(x^3)/(250)+(3x^2)/(50)