展开 (2(1.6s^2+10s+33111258.278))/(s^2)

解答

展开

\frac{2 ( 1.6 s ^{2} + 10 s + 33111258.278 )}{s ^{2}}

3.2 + \frac{20}{s} + \frac{66222516.556}{s ^{2}}

求解步骤

\frac{2 ( 1.6 s ^{2} + 10 s + 33111258.278 )}{s ^{2}}

乘开

2 (1.6 s^{2} + 10 s + 33111258.278) : 3.2 s^{2} + 20 s + 66222516.556

= \frac{3.2 s ^{2} + 20 s + 66222516.556}{s ^{2}}

使用分式法则:

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

\frac{3.2 s ^{2} + 20 s + 66222516.556}{s ^{2}} = \frac{3.2 s ^{2}}{s ^{2}} + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

= \frac{3.2 s ^{2}}{s ^{2}} + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

消掉

\frac{3.2 s ^{2}}{s ^{2}} : 3.2

= 3.2 + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

消掉

\frac{20 s}{s ^{2}} : \frac{20}{s}

= 3.2 + \frac{20}{s} + \frac{66222516.556}{s ^{2}}

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e x p an d r^{2} + (a + \frac{4}{a}) r + (0.5 \cdot a^{2} - 2)

e x p an d (x - 2) x - 2

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