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 (24)/((s-3)^5)expand

\frac{24}{( s - 3 ) ^{5}}

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

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

expand (3sin(y)-5x)dx+2x^2cot(y)dy expand

(3 sin (y) - 5 x) d x + 2 x^{2} cot (y) d y

simplify (x-sqrt(7))^2 simplify

(x - 7)^{2}

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

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

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