Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Raise $3$ to the power of $2$ .

$a_{3} = \frac{9 - 2}{3^{2} + 2}$

Step 1.2

Subtract $2$ from $9$ .

$a_{3} = \frac{7}{3^{2} + 2}$

$a_{3} = \frac{7}{3^{2} + 2}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $3$ to the power of $2$ .

$a_{3} = \frac{7}{9 + 2}$

Step 2.2

Add $9$ and $2$ .

$a_{3} = \frac{7}{11}$

$a_{3} = \frac{7}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a_{3} = \frac{7}{11}$

Decimal Form:

$a_{3} = 0.\overline{63}$

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