展开 (pi(11-x)^2)/2

解答

展开

\frac{π ( 11 - x ) ^{2}}{2}

\frac{π x ^{2}}{2} - 11 π x + \frac{121 π}{2}

求解步骤

\frac{π ( 11 - x ) ^{2}}{2}

(11 - x)^{2} = 121 - 22 x + x^{2}

= \frac{π ( x ^{2} - 22 x + 121 )}{2}

乘开

π (121 - 22 x + x^{2}) : 121 π - 22 π x + π x^{2}

= \frac{121 π - 22 π x + π x ^{2}}{2}

使用分式法则:

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

\frac{121 π - 22 π x + π x ^{2}}{2} = \frac{121 π}{2} - \frac{22 π x}{2} + \frac{π x ^{2}}{2}

= \frac{121 π}{2} - \frac{22 π x}{2} + \frac{π x ^{2}}{2}

数字相除:

\frac{22}{2} = 11

= \frac{121 π}{2} - 11 π x + \frac{π x ^{2}}{2}

改写为标准形式

= \frac{π x ^{2}}{2} - 11 π x + \frac{121 π}{2}

e x p an d f (t, x) (t = 2 + 4 e^{- 2 x})

e x p an d - (q V - r) \Rightarrow - (p V - p)

e x p an d \frac{( 3 ( x - h ) ^{2} - 3 x ^{3} )}{h}

e x p an d 1 - \frac{a ^{1}}{a ^{2}}

e x p an d (2 + 2) (2 + 1)^{x}