What is expand ((-x+15)(x-10))/2 ?

The solution to expand ((-x+15)(x-10))/2 is -(x^2)/2+(25x)/2-75

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expand ((-x+15)(x-10))/2

expand

\frac{( - x + 15 ) ( x - 10 )}{2}

- \frac{x ^{2}}{2} + \frac{25 x}{2} - 75

Solution steps

\frac{( - x + 15 ) ( x - 10 )}{2}

Expand

(- x + 15) (x - 10) : - x^{2} + 25 x - 150

= \frac{- x ^{2} + 25 x - 150}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 25 x - 150}{2} = - \frac{x ^{2}}{2} + \frac{25 x}{2} - \frac{150}{2}

= - \frac{x ^{2}}{2} + \frac{25 x}{2} - \frac{150}{2}

Divide the numbers:

\frac{150}{2} = 75

= - \frac{x ^{2}}{2} + \frac{25 x}{2} - 75

\frac{x ^{2}}{( x - 5 ) ^{2} ( x + 1 )}

- \frac{3 ( n ^{2} + 14 )}{2 n - 6}

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

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

\frac{( x + 7 ) ( x + 3 )}{x + 4}

What is expand ((-x+15)(x-10))/2 ?
The solution to expand ((-x+15)(x-10))/2 is -(x^2)/2+(25x)/2-75