Solve L^-1{1/(s+1)(s+2)}

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

Evaluate

$$\frac{1}{L\left(s+1\right)\left(s+2\right)}$$

Short Solution Steps

Use the distributive property to multiply s+1 by s+2 and combine like terms.

$$L^{-1}\times \frac{1}{s^{2}+3s+2}$$

Express L^{-1}\times \frac{1}{s^{2}+3s+2} as a single fraction.

$$\frac{L^{-1}}{s^{2}+3s+2}$$

Expand

$$\frac{1}{L\left(s+1\right)\left(s+2\right)}$$

Short Solution Steps

Use the distributive property to multiply s+1 by s+2 and combine like terms.

$$L^{-1}\times \frac{1}{s^{2}+3s+2}$$

Express L^{-1}\times \frac{1}{s^{2}+3s+2} as a single fraction.

$$\frac{L^{-1}}{s^{2}+3s+2}$$