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, add them by adding 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

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