Solve x^2/4+1/12x^2

$$\frac{ { x }^{ 2 } }{ 4 } + \frac{ 1 }{ 12 { x }^{ 2 } }$$

Evaluate

$$\frac{x^{2}}{4}+\frac{1}{12x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 12x^{2} is 12x^{2}. Multiply \frac{x^{2}}{4} times \frac{3x^{2}}{3x^{2}}.

$$\frac{x^{2}\times 3x^{2}}{12x^{2}}+\frac{1}{12x^{2}}$$

Since \frac{x^{2}\times 3x^{2}}{12x^{2}} and \frac{1}{12x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}\times 3x^{2}+1}{12x^{2}}$$

Do the multiplications in x^{2}\times 3x^{2}+1.

$$\frac{3x^{4}+1}{12x^{2}}$$

Factor

$$\frac{3x^{4}+1}{12x^{2}}$$