What is expand ((n+1)^2)/(n^3) ?

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

Popular >

expand ((n+1)^2)/(n^3)

expand

\frac{( n + 1 ) ^{2}}{n ^{3}}

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

Solution steps

\frac{( n + 1 ) ^{2}}{n ^{3}}

(n + 1)^{2} = n^{2} + 2 n + 1

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

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

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

(1 + 2 i) l e f t (5 + 3 i) l e f t (4 + i)

\frac{2}{9} (\frac{5}{4} g + 18)

\frac{4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )} - 0.015

\frac{100 ( 2 q + 6 )}{( q + 6 ) ( q + 1 )}

(d^{2} e^{3} f^{4} - 3) (d^{2} e^{3} f^{4} + 5)

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