What is l^{-1}| 1/(s(s-3))| ?

The solution to l^{-1}| 1/(s(s-3))| is 1/(l|s||s-3|)

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simplify l^{-1}| 1/(s(s-3))|

simplify

l^{- 1} \frac{1}{s ( s - 3 )}

\frac{1}{l ∣ s ∣ ∣ s - 3 ∣}

Solution steps

l^{- 1} \frac{1}{s ( s - 3 )}

Apply exponent rule:

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

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

= \frac{1}{l} \frac{1}{s ( s - 3 )}

Simplify

\frac{1}{s ( s - 3 )} : \frac{1}{∣ s ∣ ∣ s - 3 ∣}

= \frac{1}{l} \cdot \frac{1}{∣ s ∣ ∣ s - 3 ∣}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{l ∣ s ∣ ∣ s - 3 ∣}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{l ∣ s ∣ ∣ s - 3 ∣}

e^{\frac{- 1}{z ^{4}}}

121 x^{4} - 81 y^{6} z^{4}

x^{3} - 2 x^{2} + 2 x - 4

\frac{1}{( 1 + a ^{n - 1} )} + \frac{1}{( 1 + a ^{m - 1} )}

- (x - 9)

What is l^{-1}| 1/(s(s-3))| ?
The solution to l^{-1}| 1/(s(s-3))| is 1/(l|s||s-3|)