Solve 10*(5+0.1)/5s^2(s+0.2)(s+1)

$$\frac { 10 \times ( 5 + 0.1 ) } { 5 s ^ { 2 } ( s + 0.2 ) ( s + 1 ) }$$

Evaluate

$$\frac{51}{5\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(0.1+5\right)}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Add 0.1 and 5 to get 5.1.

$$\frac{2\times 5.1}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Multiply 2 and 5.1 to get 10.2.

$$\frac{10.2}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Use the distributive property to multiply s+0.2 by s+1 and combine like terms.

$$\frac{10.2}{\left(s^{2}+1.2s+0.2\right)s^{2}}$$

Use the distributive property to multiply s^{2}+1.2s+0.2 by s^{2}.

$$\frac{10.2}{s^{4}+1.2s^{3}+0.2s^{2}}$$

Expand

$$\frac{51}{5\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(0.1+5\right)}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Add 0.1 and 5 to get 5.1.

$$\frac{2\times 5.1}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Multiply 2 and 5.1 to get 10.2.

$$\frac{10.2}{\left(s+0.2\right)\left(s+1\right)s^{2}}$$

Use the distributive property to multiply s+0.2 by s+1 and combine like terms.

$$\frac{10.2}{\left(s^{2}+1.2s+0.2\right)s^{2}}$$

Use the distributive property to multiply s^{2}+1.2s+0.2 by s^{2}.

$$\frac{10.2}{s^{4}+1.2s^{3}+0.2s^{2}}$$