What is expand ((n+1)(2n+1))/(18n) ?

The solution to expand ((n+1)(2n+1))/(18n) is n/9+1/6+1/(18n)

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expand ((n+1)(2n+1))/(18n)

expand

\frac{( n + 1 ) ( 2 n + 1 )}{18 n}

\frac{n}{9} + \frac{1}{6} + \frac{1}{18 n}

Solution steps

\frac{( n + 1 ) ( 2 n + 1 )}{18 n}

Expand

(n + 1) (2 n + 1) : 2 n^{2} + 3 n + 1

= \frac{2 n ^{2} + 3 n + 1}{18 n}

Apply the fraction rule:

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

\frac{2 n ^{2} + 3 n + 1}{18 n} = \frac{2 n ^{2}}{18 n} + \frac{3 n}{18 n} + \frac{1}{18 n}

= \frac{2 n ^{2}}{18 n} + \frac{3 n}{18 n} + \frac{1}{18 n}

Cancel

\frac{2 n ^{2}}{18 n} : \frac{n}{9}

= \frac{n}{9} + \frac{3 n}{18 n} + \frac{1}{18 n}

Cancel

\frac{3 n}{18 n} : \frac{1}{6}

= \frac{n}{9} + \frac{1}{6} + \frac{1}{18 n}

F (s - π)

\frac{1}{2 ( x + h ) ^{2}}

\frac{( x ^{2} + 1 ) ^{2}}{x + 1}

ln (x - 1) (x - 2)

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

What is expand ((n+1)(2n+1))/(18n) ?
The solution to expand ((n+1)(2n+1))/(18n) is n/9+1/6+1/(18n)