展开 (5(-x^2+20x+1100))/2

解答

展开

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

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

求解步骤

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

乘开

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

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

使用分式法则:

\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}

数字相除:

\frac{100}{2} = 50

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

数字相除:

\frac{5500}{2} = 2750

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

e x p an d \frac{1}{2 ( 8 x + 2 )}

e x p an d e^{y} (sinh (x) d x + cosh (x) d y = 0)

e x p an d (k + 2) (k + 1)!

e x p an d (x^{2} + x) e^{2 x}

s im pl i f y e^{2 (x + i y) + i}