What is expand ((n+1)(n+2))/(6n^2) ?

The solution to expand ((n+1)(n+2))/(6n^2) is 1/6+1/(2n)+1/(3n^2)

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expand ((n+1)(n+2))/(6n^2)

expand

\frac{( n + 1 ) ( n + 2 )}{6 n ^{2}}

\frac{1}{6} + \frac{1}{2 n} + \frac{1}{3 n ^{2}}

Solution steps

\frac{( n + 1 ) ( n + 2 )}{6 n ^{2}}

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{n ^{2}}{6 n ^{2}} : \frac{1}{6}

= \frac{1}{6} + \frac{3 n}{6 n ^{2}} + \frac{2}{6 n ^{2}}

Cancel

\frac{3 n}{6 n ^{2}} : \frac{1}{2 n}

= \frac{1}{6} + \frac{1}{2 n} + \frac{2}{6 n ^{2}}

Cancel

\frac{2}{6 n ^{2}} : \frac{1}{3 n ^{2}}

= \frac{1}{6} + \frac{1}{2 n} + \frac{1}{3 n ^{2}}

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

\frac{( 5 x - 1 ) ( 2 x + 1 )}{10}

\frac{3 ( 7 - 57 )}{20}

\frac{- 5 w + 18}{( w + 1 ) ( w - 3 )}

y^{'} (x) (x^{3} - cos (x))^{5}

What is expand ((n+1)(n+2))/(6n^2) ?
The solution to expand ((n+1)(n+2))/(6n^2) is 1/6+1/(2n)+1/(3n^2)