What is expand ((n-1)*n)/2+(n-1) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((n-1)*n)/2+(n-1)

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

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} + n - 1

1.124001 e + 21

x^{2} + x (2 a + 2 b) + 4 ab - x

(1 - t) (2 e^{t} t^{2} + t^{3})

(x - ⌈ x ⌉)^{2}

\frac{36 x ( 2 x - y ) ^{2}}{y ^{3}}

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