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

The solution to expand ((n-1)(n-2))/2 is (n^2)/2-(3n)/2+1

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

expand

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

\frac{n ^{2}}{2} - \frac{3 n}{2} + 1

Solution steps

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

Expand

(n - 1) (n - 2) : n^{2} - 3 n + 2

= \frac{n ^{2} - 3 n + 2}{2}

Apply the fraction rule:

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

\frac{n ^{2} - 3 n + 2}{2} = \frac{n ^{2}}{2} - \frac{3 n}{2} + \frac{2}{2}

= \frac{n ^{2}}{2} - \frac{3 n}{2} + \frac{2}{2}

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{n ^{2}}{2} - \frac{3 n}{2} + 1

\frac{4 n}{( 2 + 2 i ) ^{2}}

\frac{3 ( - 1 + 3 )}{2}

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

\frac{( x + yz ) ^{2}}{4}

\frac{3 ( 2 + s )}{2 ( s + 1 ) ( 3 + s )}

What is expand ((n-1)(n-2))/2 ?
The solution to expand ((n-1)(n-2))/2 is (n^2)/2-(3n)/2+1