Solve f(x)=3x^2-3/x^2

$$f ( x ) = 3 x ^ { 2 } - \frac { 3 } { x ^ { 2 } }$$

Evaluate

$$\frac{3\left(x^{4}-1\right)}{x^{2}}$$

Short Solution Steps

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

$$\frac{3x^{2}x^{2}}{x^{2}}-\frac{3}{x^{2}}$$

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

$$\frac{3x^{2}x^{2}-3}{x^{2}}$$

Do the multiplications in 3x^{2}x^{2}-3.

$$\frac{3x^{4}-3}{x^{2}}$$

Factor

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