Algebra Examples

$a_{4} = \frac{4^{2} - 10}{4^{2} + 10}$

Step 1

Simplify the numerator.

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Raise $4$ to the power of $2$ .

$a_{4} = \frac{16 - 10}{4^{2} + 10}$

Subtract $10$ from $16$ .

$a_{4} = \frac{6}{4^{2} + 10}$

$a_{4} = \frac{6}{4^{2} + 10}$

Step 2

Simplify the denominator.

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Raise $4$ to the power of $2$ .

$a_{4} = \frac{6}{16 + 10}$

Add $16$ and $10$ .

$a_{4} = \frac{6}{26}$

$a_{4} = \frac{6}{26}$

Step 3

Cancel the common factor of $6$ and $26$ .

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Factor $2$ out of $6$ .

$a_{4} = \frac{2 (3)}{26}$

Cancel the common factors.

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Factor $2$ out of $26$ .

$a_{4} = \frac{2 \cdot 3}{2 \cdot 13}$

Cancel the common factor.

$a_{4} = \frac{2 \cdot 3}{2 \cdot 13}$

Rewrite the expression.

$a_{4} = \frac{3}{13}$

$a_{4} = \frac{3}{13}$

$a_{4} = \frac{3}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a_{4} = \frac{3}{13}$

Decimal Form:

$a_{4} = 0.\overline{230769}$

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