What is expand (5(-x^2+20x+1100))/2 ?

The solution to expand (5(-x^2+20x+1100))/2 is -(5x^2)/2+50x+2750

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expand (5(-x^2+20x+1100))/2

expand

\frac{5 ( - x ^{2} + 20 x + 1100 )}{2}

- \frac{5 x ^{2}}{2} + 50 x + 2750

Solution steps

\frac{5 ( - x ^{2} + 20 x + 1100 )}{2}

Expand

5 (- x^{2} + 20 x + 1100) : - 5 x^{2} + 100 x + 5500

= \frac{- 5 x ^{2} + 100 x + 5500}{2}

Apply the fraction rule:

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

\frac{- 5 x ^{2} + 100 x + 5500}{2} = - \frac{5 x ^{2}}{2} + \frac{100 x}{2} + \frac{5500}{2}

= - \frac{5 x ^{2}}{2} + \frac{100 x}{2} + \frac{5500}{2}

Divide the numbers:

\frac{100}{2} = 50

= - \frac{5 x ^{2}}{2} + 50 x + \frac{5500}{2}

Divide the numbers:

\frac{5500}{2} = 2750

= - \frac{5 x ^{2}}{2} + 50 x + 2750

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

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What is expand (5(-x^2+20x+1100))/2 ?
The solution to expand (5(-x^2+20x+1100))/2 is -(5x^2)/2+50x+2750