What is expand ((x+6)^3)/5 ?

The solution to expand ((x+6)^3)/5 is (x^3)/5+(18x^2)/5+(108x)/5+216/5

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expand ((x+6)^3)/5

expand

\frac{( x + 6 ) ^{3}}{5}

\frac{x ^{3}}{5} + \frac{18 x ^{2}}{5} + \frac{108 x}{5} + \frac{216}{5}

Solution steps

\frac{( x + 6 ) ^{3}}{5}

(x + 6)^{3} = x^{3} + 18 x^{2} + 108 x + 216

= \frac{x ^{3} + 18 x ^{2} + 108 x + 216}{5}

Apply the fraction rule:

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

\frac{x ^{3} + 18 x ^{2} + 108 x + 216}{5} = \frac{x ^{3}}{5} + \frac{18 x ^{2}}{5} + \frac{108 x}{5} + \frac{216}{5}

= \frac{x ^{3}}{5} + \frac{18 x ^{2}}{5} + \frac{108 x}{5} + \frac{216}{5}

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

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- 4 x^{4} \cdot x^{3}

\frac{( x - k )}{( 3 x + 1 ) ( x + 1 )}

What is expand ((x+6)^3)/5 ?
The solution to expand ((x+6)^3)/5 is (x^3)/5+(18x^2)/5+(108x)/5+216/5