簡約 1+(20.05(s+7.28))/((s^2+8s+15)(s+19.42))

解

簡約

1 + \frac{20.05 ( s + 7.28 )}{( s ^{2} + 8 s + 15 ) ( s + 19.42 )}

\frac{s ^{3} + 27.42 s ^{2} + 190.41 s + 437.264}{( s ^{2} + 8 s + 15 ) ( s + 19.42 )}

解答ステップ

1 + \frac{20.05 ( s + 7.28 )}{( s ^{2} + 8 s + 15 ) ( s + 19.42 )}

分数の規則を適用する:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{( s ^{2} + 8 s + 15 ) ( s + 19.42 ) + 20.05 ( s + 7.28 )}{( s ^{2} + 8 s + 15 ) ( s + 19.42 )}

簡素化

(s^{2} + 8 s + 15) (s + 19.42) + 20.05 (s + 7.28) : s^{3} + 27.42 s^{2} + 190.41 s + 437.264

= \frac{s ^{3} + 27.42 s ^{2} + 190.41 s + 437.264}{( s ^{2} + 8 s + 15 ) ( s + 19.42 )}