What is expand-((x-4)(x-16))/2 ?

The solution to expand-((x-4)(x-16))/2 is -(x^2)/2+10x-32

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expand-((x-4)(x-16))/2

expand

- \frac{( x - 4 ) ( x - 16 )}{2}

- \frac{x ^{2}}{2} + 10 x - 32

Solution steps

- \frac{( x - 4 ) ( x - 16 )}{2}

Expand

(x - 4) (x - 16) : x^{2} - 20 x + 64

= - \frac{x ^{2} - 20 x + 64}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 20 x + 64}{2} = - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{64}{2})

= - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{64}{2})

Remove parentheses:

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

= - \frac{x ^{2}}{2} + \frac{20 x}{2} - \frac{64}{2}

Divide the numbers:

\frac{20}{2} = 10

= - \frac{x ^{2}}{2} + 10 x - \frac{64}{2}

Divide the numbers:

\frac{64}{2} = 32

= - \frac{x ^{2}}{2} + 10 x - 32

(4 - 2.6) d i v i d e [,] (8.1 - 2.6)

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

- 4 (4 x + 3 y = 16.25)

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

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

What is expand-((x-4)(x-16))/2 ?
The solution to expand-((x-4)(x-16))/2 is -(x^2)/2+10x-32