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

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

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

expand

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

- \frac{x ^{2}}{400} + x

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{400}{400} = 1

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

Rewrite in standard form

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

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