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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

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

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

(2 x + 1) e^{3 x^{2} + 3 x}

\frac{10 ( s + 1 )}{s ( s ^{2} + s + 10 )}

\frac{d}{d x} ((θ) (3 t^{4} - 2 t^{3}))

\frac{d}{d t} ((q (t)) (76 - 25 t))

\frac{( 4 - y ) x}{100 + ( 4 - y ) x}

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