Algebra Examples

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

Simplify the numerator.

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

$a_{3} = \frac{9 - 1}{3^{2} + 1}$

Subtract $1$ from $9$ .

$a_{3} = \frac{8}{3^{2} + 1}$

$a_{3} = \frac{8}{3^{2} + 1}$

Simplify the denominator.

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

$a_{3} = \frac{8}{9 + 1}$

Add $9$ and $1$ .

$a_{3} = \frac{8}{10}$

$a_{3} = \frac{8}{10}$

Cancel the common factor of $8$ and $10$ .

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Factor $2$ out of $8$ .

$a_{3} = \frac{2 (4)}{10}$

Cancel the common factors.

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Factor $2$ out of $10$ .

$a_{3} = \frac{2 \cdot 4}{2 \cdot 5}$

Cancel the common factor.

$a_{3} = \frac{2 \cdot 4}{2 \cdot 5}$

Rewrite the expression.

$a_{3} = \frac{4}{5}$

$a_{3} = \frac{4}{5}$

$a_{3} = \frac{4}{5}$

The result can be shown in multiple forms.

Exact Form:

$a_{3} = \frac{4}{5}$

Decimal Form:

$a_{3} = 0.8$

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