Solve 5/s(s+1)(s+2)

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

Evaluate

$$\frac{5}{s\left(s+1\right)\left(s+2\right)}$$

Solution Steps

Use the distributive property to multiply s by s+1.

$$\frac{5}{\left(s^{2}+s\right)\left(s+2\right)}$$

Apply the distributive property by multiplying each term of s^{2}+s by each term of s+2.

$$\frac{5}{s^{3}+2s^{2}+s^{2}+2s}$$

Combine 2s^{2} and s^{2} to get 3s^{2}.

$$\frac{5}{s^{3}+3s^{2}+2s}$$

Expand

$$\frac{5}{s\left(s+1\right)\left(s+2\right)}$$

Solution Steps

Use the distributive property to multiply s by s+1.

$$\frac{5}{\left(s^{2}+s\right)\left(s+2\right)}$$

Apply the distributive property by multiplying each term of s^{2}+s by each term of s+2.

$$\frac{5}{s^{3}+2s^{2}+s^{2}+2s}$$

Combine 2s^{2} and s^{2} to get 3s^{2}.

$$\frac{5}{s^{3}+3s^{2}+2s}$$