What is expand ((-x+14)*(x-6))/2 ?

The solution to expand ((-x+14)*(x-6))/2 is -(x^2)/2+10x-42

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expand ((-x+14)*(x-6))/2

expand

\frac{( - x + 14 ) \cdot ( x - 6 )}{2}

- \frac{x ^{2}}{2} + 10 x - 42

Solution steps

\frac{( - x + 14 ) ( x - 6 )}{2}

Expand

(- x + 14) (x - 6) : - x^{2} + 20 x - 84

= \frac{- x ^{2} + 20 x - 84}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 20 x - 84}{2} = - \frac{x ^{2}}{2} + \frac{20 x}{2} - \frac{84}{2}

= - \frac{x ^{2}}{2} + \frac{20 x}{2} - \frac{84}{2}

Divide the numbers:

\frac{20}{2} = 10

= - \frac{x ^{2}}{2} + 10 x - \frac{84}{2}

Divide the numbers:

\frac{84}{2} = 42

= - \frac{x ^{2}}{2} + 10 x - 42

\frac{( 3 x )}{( x + 8 ) ^{2}}

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

(d - a)^{2} + (c)^{2}

(\frac{( 2 + 2 i )}{2})^{2}

\frac{3 x ^{2}}{( l - x ) ^{2}}

What is expand ((-x+14)*(x-6))/2 ?
The solution to expand ((-x+14)*(x-6))/2 is -(x^2)/2+10x-42