en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (n(n+1))/2

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Popular Examples

expand (9x^2-6x+81)arccsc(9x^2)expand

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

expand ((x+Δx)^2-2)^2 expand

((x + Δ x)^{2} - 2)^{2}

expand sqrt(x^2+y^2)(x^2+y^2)expand

x^{2} + y^{2} (x^{2} + y^{2})

expand (-cos(x)-sin(x))(-sin(x)+cos(x)+2)expand

(- cos (x) - sin (x)) (- sin (x) + cos (x) + 2)

expand (3xy^2-4y)+(3x-4x^2y)y'(x)expand

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) y^{'} (x)

Frequently Asked Questions (FAQ)

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