What is expand-((x-1)(x-4))/2 ?

The solution to expand-((x-1)(x-4))/2 is -(x^2)/2+(5x)/2-2

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expand-((x-1)(x-4))/2

expand

- \frac{( x - 1 ) ( x - 4 )}{2}

- \frac{x ^{2}}{2} + \frac{5 x}{2} - 2

Solution steps

- \frac{( x - 1 ) ( x - 4 )}{2}

Expand

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

= - \frac{x ^{2} - 5 x + 4}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 5 x + 4}{2} = - (\frac{x ^{2}}{2}) - (- \frac{5 x}{2}) - (\frac{4}{2})

= - (\frac{x ^{2}}{2}) - (- \frac{5 x}{2}) - (\frac{4}{2})

Remove parentheses:

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

= - \frac{x ^{2}}{2} + \frac{5 x}{2} - \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= - \frac{x ^{2}}{2} + \frac{5 x}{2} - 2

\frac{5 ( - p + 27 )}{3}

3 (x + 2 = 18)

(x y) d x + (2 x^{2} + 3 y^{2} = 20) d y

A (4 - 2) C (2, - 8)

(e^{x} x - e^{x} + C) (2 x - 1)

What is expand-((x-1)(x-4))/2 ?
The solution to expand-((x-1)(x-4))/2 is -(x^2)/2+(5x)/2-2