展开 ((s-v)/a)^2

解答

展开

(\frac{s - v}{a})^{2}

\frac{s ^{2}}{a ^{2}} - \frac{2 s v}{a ^{2}} + \frac{v ^{2}}{a ^{2}}

求解步骤

(\frac{s - v}{a})^{2}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( s - v ) ^{2}}{a ^{2}}

(s - v)^{2} = s^{2} - 2 s v + v^{2}

= \frac{s ^{2} - 2 s v + v ^{2}}{a ^{2}}

使用分式法则:

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

\frac{s ^{2} - 2 s v + v ^{2}}{a ^{2}} = \frac{s ^{2}}{a ^{2}} - \frac{2 s v}{a ^{2}} + \frac{v ^{2}}{a ^{2}}

= \frac{s ^{2}}{a ^{2}} - \frac{2 s v}{a ^{2}} + \frac{v ^{2}}{a ^{2}}

e x p an d 3 (2 s = \frac{a}{3} - 2 b)

e x p an d \frac{x ^{2}}{( x - 1 ) ( x - 3 )}

e x p an d 10 (1 - e^{- 0.5 x}) - 0.4 x

e x p an d cos (\frac{π}{4} \cdot (k + 2))

e x p an d 11 x - (1 + 3 x - 6 = 11)