What is expand (x(400-x))/(20000) ?

The solution to expand (x(400-x))/(20000) is -(x^2)/(20000)+x/(50)

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expand (x(400-x))/(20000)

expand

\frac{x ( 400 - x )}{20000}

- \frac{x ^{2}}{20000} + \frac{x}{50}

Solution steps

\frac{x ( 400 - x )}{20000}

Expand

x (400 - x) : 400 x - x^{2}

= \frac{400 x - x ^{2}}{20000}

Apply the fraction rule:

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

\frac{400 x - x ^{2}}{20000} = \frac{400 x}{20000} - \frac{x ^{2}}{20000}

= \frac{400 x}{20000} - \frac{x ^{2}}{20000}

Cancel

\frac{400 x}{20000} : \frac{x}{50}

= \frac{x}{50} - \frac{x ^{2}}{20000}

Rewrite in standard form

= - \frac{x ^{2}}{20000} + \frac{x}{50}

\frac{( n + 1 ) ^{2}}{( n ! ( n - 1 ) ! )}

\frac{( x + 5 ) ( 3 x - 2 )}{9 x ^{2} + 4}

\frac{( x + 2 ) ^{2}}{9}

sin (θ) (5, - 3)

\frac{- 2 x ^{2} - 3 x - 1}{x ( x - 1 )}

What is expand (x(400-x))/(20000) ?
The solution to expand (x(400-x))/(20000) is -(x^2)/(20000)+x/(50)