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

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

expand

\frac{( n - 1 ) 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

\frac{( a + b ) ^{2}}{( - b + a )}

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

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

\frac{( 2 n + 1 ) ^{2}}{8} + (n + 1)

A (5, 0) B (4, 6) C (- 1, - 1)

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