Solve x ^ 2 - 1/(x ^ 2) = | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

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

Short Solution Steps

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

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

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

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

Do the multiplications in $x^{2}x^{2}-1$.

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

Factor

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