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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{2}{2} = 1

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

y (b - a y^{2}) d y

(2 x + 1) e^{x} d x

\frac{( 10 - j ) ( - 8 - 9 j )}{- 10 j + 2}

8 (- 0.4 e^{- 0.4 x} + 0.6 e^{- 0.6 x})

- 5 (10 x - 14 y = - 4)

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