What is expand (4n^3+15n^2+11n)/6 ?

The solution to expand (4n^3+15n^2+11n)/6 is (2n^3)/3+(5n^2)/2+(11n)/6

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expand (4n^3+15n^2+11n)/6

expand

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6}

\frac{2 n ^{3}}{3} + \frac{5 n ^{2}}{2} + \frac{11 n}{6}

Solution steps

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6}

Apply the fraction rule:

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

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6} = \frac{4 n ^{3}}{6} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

= \frac{4 n ^{3}}{6} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

Cancel

\frac{4 n ^{3}}{6} : \frac{2 n ^{3}}{3}

= \frac{2 n ^{3}}{3} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

Cancel

\frac{15 n ^{2}}{6} : \frac{5 n ^{2}}{2}

= \frac{2 n ^{3}}{3} + \frac{5 n ^{2}}{2} + \frac{11 n}{6}

(1 - x) y^{''} (x) + x y

\frac{x ^{2} + y ^{2} + z ^{2}}{2} - \frac{( x + y + z ) ^{2}}{6}

\frac{sec ^{2} ( x )}{( 1 + tan ( x ) ) ^{3}}

\frac{4}{s ^{3} ( s ^{2} - s )}

\frac{8 ( 154 - 2 )}{5}

What is expand (4n^3+15n^2+11n)/6 ?
The solution to expand (4n^3+15n^2+11n)/6 is (2n^3)/3+(5n^2)/2+(11n)/6