Algebra Examples

$a_{2} = \frac{2^{2} - 1}{2^{2} + 1}$

Step 1

Simplify the numerator.

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Raise $2$ to the power of $2$ .

$a_{2} = \frac{4 - 1}{2^{2} + 1}$

Subtract $1$ from $4$ .

$a_{2} = \frac{3}{2^{2} + 1}$

$a_{2} = \frac{3}{2^{2} + 1}$

Step 2

Simplify the denominator.

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Raise $2$ to the power of $2$ .

$a_{2} = \frac{3}{4 + 1}$

Add $4$ and $1$ .

$a_{2} = \frac{3}{5}$

$a_{2} = \frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a_{2} = \frac{3}{5}$

Decimal Form:

$a_{2} = 0.6$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$