en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

\frac{2 n}{n} : 2

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

Popular Examples

expand (-24x^3-96x)/((x+2)^4(x-2)^4)expand

\frac{- 24 x ^{3} - 96 x}{( x + 2 ) ^{4} ( x - 2 ) ^{4}}

expand-(2y)/(ln(x^2-4)(y^2-16)^2)expand

- \frac{2 y}{ln ( x ^{2} - 4 ) ( y ^{2} - 16 ) ^{2}}

simplify (2x+1/2)(x-2)^2 simplify

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

expand (-2x-11)/((x+4)(x+1))expand

\frac{- 2 x - 11}{( x + 4 ) ( x + 1 )}

expand ((-2b+1)^2)/4 expand

\frac{( - 2 b + 1 ) ^{2}}{4}

Frequently Asked Questions (FAQ)

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