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}

Divide the numbers:

\frac{4}{2} = 2

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

5 (a - 3 h^{2})

\frac{( 2 s + 1 )}{( s + 1 + j ) ( s + 1 - j )}

\frac{( x + 2 ) ( x + 3 )}{x ^{2}}

\frac{1}{( ( x + h ) + 3 ) ^{2}}

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