Solve 2s^3+2s^2+2s+1/s(s^2+1)*1/2s+2

$$\frac { 2 s ^ { 3 } + 2 s ^ { 2 } + 2 s + 1 } { s ( s ^ { 2 } + 1 ) } \times \frac { 1 } { 2 s + 2 }$$

Evaluate

$$\frac{2s^{3}+2s^{2}+2s+1}{2s\left(s+1\right)\left(s^{2}+1\right)}$$

Short Solution Steps

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

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

Multiply \frac{2s^{3}+2s^{2}+2s+1}{s^{3}+s} times \frac{1}{2s+2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2s^{3}+2s^{2}+2s+1}{\left(s^{3}+s\right)\left(2s+2\right)}$$

Use the distributive property to multiply s^{3}+s by 2s+2.

$$\frac{2s^{3}+2s^{2}+2s+1}{2s^{4}+2s^{3}+2s^{2}+2s}$$

Expand

$$\frac{2s^{3}+2s^{2}+2s+1}{2s\left(s+1\right)\left(s^{2}+1\right)}$$

Short Solution Steps

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

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

Multiply \frac{2s^{3}+2s^{2}+2s+1}{s^{3}+s} times \frac{1}{2s+2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2s^{3}+2s^{2}+2s+1}{\left(s^{3}+s\right)\left(2s+2\right)}$$

Use the distributive property to multiply s^{3}+s by 2s+2.

$$\frac{2s^{3}+2s^{2}+2s+1}{2s^{4}+2s^{3}+2s^{2}+2s}$$