簡約 l^{-1}{1/((s^2(s+1)^2))}

解

簡約

l^{- 1} \cdot ⎩ ⎨ ⎧ \frac{1}{( s ^{2} \cdot ( s + 1 ) ^{2} )} ⎭ ⎬ ⎫

\frac{1}{l s ^{2} ( s + 1 ) ^{2}}

解答ステップ

l^{- 1} (\frac{1}{s ^{2} ( s + 1 ) ^{2}})

規則を適用する:

(a) = a

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

= l^{- 1} \frac{1}{s ^{2} ( s + 1 ) ^{2}}

指数の規則を適用する:

a^{- 1} = \frac{1}{a}

l^{- 1} = \frac{1}{l}

= \frac{1}{l} \cdot \frac{1}{s ^{2} ( s + 1 ) ^{2}}

分数の規則を適用する:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{l s ^{2} ( s + 1 ) ^{2}}

数を乗じる:

1 \cdot 1 = 1

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