Solve x^4-1/49x^2

$$x ^ { 4 } - \frac { 1 } { 49 x ^ { 2 } }$$

Evaluate

$$x^{4}-\frac{1}{49x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{4} times \frac{49x^{2}}{49x^{2}}.

$$\frac{x^{4}\times 49x^{2}}{49x^{2}}-\frac{1}{49x^{2}}$$

Since \frac{x^{4}\times 49x^{2}}{49x^{2}} and \frac{1}{49x^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{4}\times 49x^{2}-1}{49x^{2}}$$

Do the multiplications in x^{4}\times 49x^{2}-1.

$$\frac{49x^{6}-1}{49x^{2}}$$

Factor

$$\frac{\left(7x^{3}-1\right)\left(7x^{3}+1\right)}{49x^{2}}$$