Solve (x)^(2)+1\div(x)^(2)-1 | 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

$${ x }^{ 2 } +1 \div { x }^{ 2 } -1$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{2}-1$ times $\frac{x^{2}}{x^{2}}$.

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

Since $\frac{\left(x^{2}-1\right)x^{2}}{x^{2}}$ and $\frac{1}{x^{2}}$ have the same denominator, add them by adding their numerators.

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

Do the multiplications in $\left(x^{2}-1\right)x^{2}+1$.

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

Factor

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