What is expand ((-x+20)(x-10))/2 ?

The solution to expand ((-x+20)(x-10))/2 is -(x^2)/2+15x-100

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expand ((-x+20)(x-10))/2

expand

\frac{( - x + 20 ) ( x - 10 )}{2}

- \frac{x ^{2}}{2} + 15 x - 100

Solution steps

\frac{( - x + 20 ) ( x - 10 )}{2}

Expand

(- x + 20) (x - 10) : - x^{2} + 30 x - 200

= \frac{- x ^{2} + 30 x - 200}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 30 x - 200}{2} = - \frac{x ^{2}}{2} + \frac{30 x}{2} - \frac{200}{2}

= - \frac{x ^{2}}{2} + \frac{30 x}{2} - \frac{200}{2}

Divide the numbers:

\frac{30}{2} = 15

= - \frac{x ^{2}}{2} + 15 x - \frac{200}{2}

Divide the numbers:

\frac{200}{2} = 100

= - \frac{x ^{2}}{2} + 15 x - 100

\frac{3 t + 2}{t ( 1 + t ^{2} )}

\frac{10 ( 10 + 129 )}{29}

(4 - 5 x + 2 x^{2}) (1 + x, 1 - x, x^{2})

((5 x + 2) \cdot (x + 9)) \cdot x

ln (x^{9} + 6)

What is expand ((-x+20)(x-10))/2 ?
The solution to expand ((-x+20)(x-10))/2 is -(x^2)/2+15x-100