What is expand (x(48-x))/3 ?

The solution to expand (x(48-x))/3 is -(x^2)/3+16x

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expand (x(48-x))/3

expand

\frac{x ( 48 - x )}{3}

- \frac{x ^{2}}{3} + 16 x

Solution steps

\frac{x ( 48 - x )}{3}

Expand

x (48 - x) : 48 x - x^{2}

= \frac{48 x - x ^{2}}{3}

Apply the fraction rule:

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

\frac{48 x - x ^{2}}{3} = \frac{48 x}{3} - \frac{x ^{2}}{3}

= \frac{48 x}{3} - \frac{x ^{2}}{3}

Divide the numbers:

\frac{48}{3} = 16

= 16 x - \frac{x ^{2}}{3}

Rewrite in standard form

= - \frac{x ^{2}}{3} + 16 x

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