化简 K(1+A+(-A-2B)/z+B+B/(z^2))*0.01397

解答

化简

K (1 + A + \frac{- A - 2 B}{z} + B + \frac{B}{z ^{2}}) \cdot 0.01397

\frac{0.01397 K ( z ^{2} + A z ^{2} - A z - 2 B z + B + B z ^{2} )}{z ^{2}}

求解步骤

K (1 + A + \frac{- A - 2 B}{z} + B + \frac{B}{z ^{2}}) \cdot 0.01397

合并

1 + A + \frac{- A - 2 B}{z} + B + \frac{B}{z ^{2}} : \frac{z ^{2} + A z ^{2} - A z - 2 B z + B + B z ^{2}}{z ^{2}}

= K \frac{z ^{2} + A z ^{2} - A z - 2 B z + B + B z ^{2}}{z ^{2}} \cdot 0.01397

使用分式法则:

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

= \frac{K ( z ^{2} + A z ^{2} - A z - 2 B z + B + B z ^{2} ) \cdot 0.01397}{z ^{2}}

= \frac{0.01397 K ( z ^{2} + A z ^{2} - A z - 2 B z + B + B z ^{2} )}{z ^{2}}

e x p an d \frac{( e ^{- s} - 2 e ^{- 2 s} )}{s ^{2} ( s ^{2} + s )}

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