Solve f(x)=4x^2+6/x^2

$$f ( x ) = 4 x ^ { 2 } + \frac { 6 } { x ^ { 2 } }$$

Evaluate

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

Short Solution Steps

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

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

Since \frac{4x^{2}x^{2}}{x^{2}} and \frac{6}{x^{2}} have the same denominator, add them by adding their numerators.

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

Do the multiplications in 4x^{2}x^{2}+6.

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

Factor

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