Solve (x^2+1)div2x/x^2

$$( { x }^{ 2 } +1) \div 2 \frac{ x }{ { x }^{ 2 } }$$

Evaluate

$$\frac{x}{2}+\frac{1}{2x}$$

Solution Steps

Rewrite x^{2} as xx. Cancel out x in both numerator and denominator.

$$\frac{x^{2}+1}{2}\times \frac{1}{x}$$

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

$$\frac{x^{2}+1}{2x}$$

Expand

$$\frac{x}{2}+\frac{1}{2x}$$

Solution Steps

Rewrite x^{2} as xx. Cancel out x in both numerator and denominator.

$$\frac{x^{2}+1}{2}\times \frac{1}{x}$$

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

$$\frac{x^{2}+1}{2x}$$