Solve 36/s(s^2+1)(s^2+9)

$$\frac { 36 } { s ( s ^ { 2 } + 1 ) ( s ^ { 2 } + 9 ) }$$

Evaluate

$$\frac{36}{s\left(s^{2}+1\right)\left(s^{2}+9\right)}$$

Solution Steps

Use the distributive property to multiply s by s^{2}+1.

$$\frac{36}{\left(s^{3}+s\right)\left(s^{2}+9\right)}$$

Use the distributive property to multiply s^{3}+s by s^{2}+9 and combine like terms.

$$\frac{36}{s^{5}+10s^{3}+9s}$$

Expand

$$\frac{36}{s\left(s^{2}+1\right)\left(s^{2}+9\right)}$$

Solution Steps

Use the distributive property to multiply s by s^{2}+1.

$$\frac{36}{\left(s^{3}+s\right)\left(s^{2}+9\right)}$$

Use the distributive property to multiply s^{3}+s by s^{2}+9 and combine like terms.

$$\frac{36}{s^{5}+10s^{3}+9s}$$