展开 ([100(s+1)])/([(s^2)(s+10)])

解答

展开

\frac{[ 100 \cdot ( s + 1 ) ]}{[ ( s ^{2} ) \cdot ( s + 10 ) ]}

\frac{100 s + 100}{s ^{3} + 10 s ^{2}}

求解步骤

\frac{100 ( s + 1 )}{( s ^{2} ) ( s + 10 )}

去除括号:

(a) = a

= \frac{100 ( s + 1 )}{s ^{2} ( s + 10 )}

乘开

s^{2} (s + 10) : s^{3} + 10 s^{2}

= \frac{100 ( s + 1 )}{s ^{3} + 10 s ^{2}}

乘开

100 (s + 1) : 100 s + 100

= \frac{100 s + 100}{s ^{3} + 10 s ^{2}}

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