What is expand ((x+1)(-x+10))/2 ?

The solution to expand ((x+1)(-x+10))/2 is -(x^2)/2+(9x)/2+5

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expand ((x+1)(-x+10))/2

expand

\frac{( x + 1 ) ( - x + 10 )}{2}

- \frac{x ^{2}}{2} + \frac{9 x}{2} + 5

Solution steps

\frac{( x + 1 ) ( - x + 10 )}{2}

Expand

(x + 1) (- x + 10) : - x^{2} + 9 x + 10

= \frac{- x ^{2} + 9 x + 10}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 9 x + 10}{2} = - \frac{x ^{2}}{2} + \frac{9 x}{2} + \frac{10}{2}

= - \frac{x ^{2}}{2} + \frac{9 x}{2} + \frac{10}{2}

Divide the numbers:

\frac{10}{2} = 5

= - \frac{x ^{2}}{2} + \frac{9 x}{2} + 5

e^{- 2 (x + y i)}

6 (x^{2} + 2 x + 2)^{2}

\frac{5 x + 20}{( x + 2 ) ^{3}}

\frac{1}{( x - 7 ) x}

, (1 - D) \cdot (- V - I (R + Z))

What is expand ((x+1)(-x+10))/2 ?
The solution to expand ((x+1)(-x+10))/2 is -(x^2)/2+(9x)/2+5