What is expand (-(X-10)^3)/(375000) ?

The solution to expand (-(X-10)^3)/(375000) is -(X^3)/(375000)+(X^2)/(12500)-X/(1250)+1/375

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expand (-(X-10)^3)/(375000)

expand

\frac{- ( X - 10 ) ^{3}}{375000}

- \frac{X ^{3}}{375000} + \frac{X ^{2}}{12500} - \frac{X}{1250} + \frac{1}{375}

Solution steps

\frac{- ( X - 10 ) ^{3}}{375000}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{( X - 10 ) ^{3}}{375000}

(X - 10)^{3} = X^{3} - 30 X^{2} + 300 X - 1000

= - \frac{X ^{3} - 30 X ^{2} + 300 X - 1000}{375000}

Apply the fraction rule:

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

\frac{X ^{3} - 30 X ^{2} + 300 X - 1000}{375000} = - (\frac{X ^{3}}{375000}) - (- \frac{30 X ^{2}}{375000}) - (\frac{300 X}{375000}) - (- \frac{1000}{375000})

= - (\frac{X ^{3}}{375000}) - (- \frac{30 X ^{2}}{375000}) - (\frac{300 X}{375000}) - (- \frac{1000}{375000})

Remove parentheses:

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

= - \frac{X ^{3}}{375000} + \frac{30 X ^{2}}{375000} - \frac{300 X}{375000} + \frac{1000}{375000}

Cancel

\frac{30 X ^{2}}{375000} : \frac{X ^{2}}{12500}

= - \frac{X ^{3}}{375000} + \frac{X ^{2}}{12500} - \frac{300 X}{375000} + \frac{1000}{375000}

Cancel

\frac{300 X}{375000} : \frac{X}{1250}

= - \frac{X ^{3}}{375000} + \frac{X ^{2}}{12500} - \frac{X}{1250} + \frac{1000}{375000}

Cancel

\frac{1000}{375000} : \frac{1}{375}

= - \frac{X ^{3}}{375000} + \frac{X ^{2}}{12500} - \frac{X}{1250} + \frac{1}{375}

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What is expand (-(X-10)^3)/(375000) ?
The solution to expand (-(X-10)^3)/(375000) is -(X^3)/(375000)+(X^2)/(12500)-X/(1250)+1/375