Solve 3x^2+6+3/x^2

$$3 { x }^{ 2 } +6+ \frac{ 3 }{ { x }^{ 2 } }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x^{2}+6 times \frac{x^{2}}{x^{2}}.

$$\frac{\left(3x^{2}+6\right)x^{2}}{x^{2}}+\frac{3}{x^{2}}$$

Since \frac{\left(3x^{2}+6\right)x^{2}}{x^{2}} and \frac{3}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\left(3x^{2}+6\right)x^{2}+3}{x^{2}}$$

Do the multiplications in \left(3x^{2}+6\right)x^{2}+3.

$$\frac{3x^{4}+6x^{2}+3}{x^{2}}$$

Factor

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