What is expand-((-x+15)(-x+5))/2 ?

The solution to expand-((-x+15)(-x+5))/2 is -(x^2)/2+10x-75/2

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expand-((-x+15)(-x+5))/2

expand

- \frac{( - x + 15 ) ( - x + 5 )}{2}

- \frac{x ^{2}}{2} + 10 x - \frac{75}{2}

Solution steps

- \frac{( - x + 15 ) ( - x + 5 )}{2}

Expand

(- x + 15) (- x + 5) : x^{2} - 20 x + 75

= - \frac{x ^{2} - 20 x + 75}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 20 x + 75}{2} = - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{75}{2})

= - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{75}{2})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{x ^{2}}{2} + \frac{20 x}{2} - \frac{75}{2}

Divide the numbers:

\frac{20}{2} = 10

= - \frac{x ^{2}}{2} + 10 x - \frac{75}{2}

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What is expand-((-x+15)(-x+5))/2 ?
The solution to expand-((-x+15)(-x+5))/2 is -(x^2)/2+10x-75/2