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

The solution to expand ((x-3)^3)/3 is (x^3)/3-3x^2+9x-9

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expand ((x-3)^3)/3

expand

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

\frac{x ^{3}}{3} - 3 x^{2} + 9 x - 9

Solution steps

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

(x - 3)^{3} = x^{3} - 9 x^{2} + 27 x - 27

= \frac{x ^{3} - 9 x ^{2} + 27 x - 27}{3}

Apply the fraction rule:

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

\frac{x ^{3} - 9 x ^{2} + 27 x - 27}{3} = \frac{x ^{3}}{3} - \frac{9 x ^{2}}{3} + \frac{27 x}{3} - \frac{27}{3}

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{3} + \frac{27 x}{3} - \frac{27}{3}

Divide the numbers:

\frac{9}{3} = 3

= \frac{x ^{3}}{3} - 3 x^{2} + \frac{27 x}{3} - \frac{27}{3}

Divide the numbers:

\frac{27}{3} = 9

= \frac{x ^{3}}{3} - 3 x^{2} + 9 x - 9

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What is expand ((x-3)^3)/3 ?
The solution to expand ((x-3)^3)/3 is (x^3)/3-3x^2+9x-9