Solve (3+1/x*1/x)

$$(3+ \frac{ 1 }{ x } \times \frac { 1 } { x } )$$

Evaluate

$$3+\frac{1}{x^{2}}$$

Short Solution Steps

Multiply \frac{1}{x} and \frac{1}{x} to get \left(\frac{1}{x}\right)^{2}.

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

To raise \frac{1}{x} to a power, raise both numerator and denominator to the power and then divide.

$$3+\frac{1^{2}}{x^{2}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{x^{2}}{x^{2}}.

$$\frac{3x^{2}}{x^{2}}+\frac{1^{2}}{x^{2}}$$

Since \frac{3x^{2}}{x^{2}} and \frac{1^{2}}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{3x^{2}+1^{2}}{x^{2}}$$

Combine like terms in 3x^{2}+1^{2}.

$$\frac{3x^{2}+1}{x^{2}}$$

Factor

$$\frac{3x^{2}+1}{x^{2}}$$