簡約 1+(3.3(s+6)(s+10.75))/((s+2)(s+3)(s+5))

解

簡約

1 + \frac{3.3 ( s + 6 ) ( s + 10.75 )}{( s + 2 ) ( s + 3 ) ( s + 5 )}

\frac{s ^{3} + 13.3 s ^{2} + 86.275 s + 242.85}{( s + 2 ) ( s + 3 ) ( s + 5 )}

解答ステップ

1 + \frac{3.3 ( s + 6 ) ( s + 10.75 )}{( s + 2 ) ( s + 3 ) ( s + 5 )}

分数の規則を適用する:

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

= \frac{( s + 2 ) ( s + 3 ) ( s + 5 ) + 3.3 ( s + 6 ) ( s + 10.75 )}{( s + 2 ) ( s + 3 ) ( s + 5 )}

簡素化

(s + 2) (s + 3) (s + 5) + 3.3 (s + 6) (s + 10.75) : s^{3} + 13.3 s^{2} + 86.275 s + 242.85

= \frac{s ^{3} + 13.3 s ^{2} + 86.275 s + 242.85}{( s + 2 ) ( s + 3 ) ( s + 5 )}