Solve (x^2-1/4x^2)

$$( x ^ { 2 } - \frac { 1 } { 4 x ^ { 2 } } )$$

Evaluate

$$x^{2}-\frac{1}{4x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{4x^{2}}{4x^{2}}.

$$\frac{x^{2}\times 4x^{2}}{4x^{2}}-\frac{1}{4x^{2}}$$

Since \frac{x^{2}\times 4x^{2}}{4x^{2}} and \frac{1}{4x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{2}\times 4x^{2}-1}{4x^{2}}$$

Do the multiplications in x^{2}\times 4x^{2}-1.

$$\frac{4x^{4}-1}{4x^{2}}$$

Factor

$$\frac{\left(2x^{2}-1\right)\left(2x^{2}+1\right)}{4x^{2}}$$