Solve ((a)^(2)+)((1)/((a)^(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

$${ a }^{ 2 } + \frac { 1 } { { a }^{ 2 } }$$

Evaluate

$a^{2}+\frac{1}{a^{2}}$

Short Solution Steps

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

$$\frac{a^{2}a^{2}}{a^{2}}+\frac{1}{a^{2}}$$

Since $\frac{a^{2}a^{2}}{a^{2}}$ and $\frac{1}{a^{2}}$ have the same denominator, add them by adding their numerators.

$$\frac{a^{2}a^{2}+1}{a^{2}}$$

Do the multiplications in $a^{2}a^{2}+1$.

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

Factor

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