化简 (245.42)/((s+10)(s^2+4s+24.542))

解答

化简

\frac{245.42}{( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

\frac{12271}{50 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

求解步骤

\frac{245.42}{( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

化简

\frac{245.42}{( s + 10 ) ( s ^{2} + 4 s + 24.542 )} : \frac{24542}{100 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

= \frac{24542}{100 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

因式分解数字:

24542 = 2 \cdot 12271

= \frac{2 \cdot 12271}{100 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

因式分解数字:

100 = 2 \cdot 50

= \frac{2 \cdot 12271}{2 \cdot 50 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

约分:

2

= \frac{12271}{50 ( s + 10 ) ( s ^{2} + 4 s + 24.542 )}

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