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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

\frac{3 n}{n} : 3

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

\frac{( 30 x + 1 ) ( 10 x + 1 )}{300}

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

\frac{37}{( s + 4 ) ^{2}}

x (9 - x) d x

y (y^{2} - 2 y = x^{2} - x + c)

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