What is expand ((-x+11)(x-3))/2 ?

The solution to expand ((-x+11)(x-3))/2 is -(x^2)/2+7x-33/2

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expand ((-x+11)(x-3))/2

expand

\frac{( - x + 11 ) ( x - 3 )}{2}

- \frac{x ^{2}}{2} + 7 x - \frac{33}{2}

Solution steps

\frac{( - x + 11 ) ( x - 3 )}{2}

Expand

(- x + 11) (x - 3) : - x^{2} + 14 x - 33

= \frac{- x ^{2} + 14 x - 33}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 14 x - 33}{2} = - \frac{x ^{2}}{2} + \frac{14 x}{2} - \frac{33}{2}

= - \frac{x ^{2}}{2} + \frac{14 x}{2} - \frac{33}{2}

Divide the numbers:

\frac{14}{2} = 7

= - \frac{x ^{2}}{2} + 7 x - \frac{33}{2}

(6 b d - 7 e f) (6 b d + 7 e f)

\frac{4 a ^{2} - 4 a + 4}{( a - 1 ) ^{2}}

\frac{2 ^{3}}{2 ^{4}}

x^{3} (5 x^{2} - x + 1)^{2}

\frac{( y - 6 ) ( y + 3 )}{( 2 y + 3 )}

What is expand ((-x+11)(x-3))/2 ?
The solution to expand ((-x+11)(x-3))/2 is -(x^2)/2+7x-33/2