What is expand (x(100-x))/4 ?

The solution to expand (x(100-x))/4 is -(x^2)/4+25x

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expand (x(100-x))/4

expand

\frac{x ( 100 - x )}{4}

- \frac{x ^{2}}{4} + 25 x

Solution steps

\frac{x ( 100 - x )}{4}

Expand

x (100 - x) : 100 x - x^{2}

= \frac{100 x - x ^{2}}{4}

Apply the fraction rule:

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

\frac{100 x - x ^{2}}{4} = \frac{100 x}{4} - \frac{x ^{2}}{4}

= \frac{100 x}{4} - \frac{x ^{2}}{4}

Divide the numbers:

\frac{100}{4} = 25

= 25 x - \frac{x ^{2}}{4}

Rewrite in standard form

= - \frac{x ^{2}}{4} + 25 x

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What is expand (x(100-x))/4 ?
The solution to expand (x(100-x))/4 is -(x^2)/4+25x