簡約 (164.6)/((s+1)(s+2))

解

簡約

\frac{164.6}{( s + 1 ) ( s + 2 )}

\frac{823}{5 ( s + 1 ) ( s + 2 )}

解答ステップ

\frac{164.6}{( s + 1 ) ( s + 2 )}

簡素化

\frac{164.6}{( s + 1 ) ( s + 2 )} : \frac{1646}{10 ( s + 1 ) ( s + 2 )}

= \frac{1646}{10 ( s + 1 ) ( s + 2 )}

数を因数に分解する:

1646 = 2 \cdot 823

= \frac{2 \cdot 823}{10 ( s + 1 ) ( s + 2 )}

数を因数に分解する:

10 = 2 \cdot 5

= \frac{2 \cdot 823}{2 \cdot 5 ( s + 1 ) ( s + 2 )}

共通因数を約分する:

2

= \frac{823}{5 ( s + 1 ) ( s + 2 )}