Algebra Examples

$13 (6^{2} \div (5^{2} - 4^{2}) + 9)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$13 (\frac{6^{2}}{5^{2} - 4^{2}} + 9)$

Step 1.2

Raise $6$ to the power of $2$ .

$13 (\frac{36}{5^{2} - 4^{2}} + 9)$

Step 1.3

Simplify the denominator.

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Step 1.3.1

Raise $5$ to the power of $2$ .

$13 (\frac{36}{25 - 4^{2}} + 9)$

Step 1.3.2

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

$13 (\frac{36}{25 - 1 \cdot 16} + 9)$

Step 1.3.3

Multiply $- 1$ by $16$ .

$13 (\frac{36}{25 - 16} + 9)$

Step 1.3.4

Subtract $16$ from $25$ .

$13 (\frac{36}{9} + 9)$

$13 (\frac{36}{9} + 9)$

Step 1.4

Divide $36$ by $9$ .

$13 (4 + 9)$

$13 (4 + 9)$

Step 2

Simplify the expression.

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Step 2.1

Add $4$ and $9$ .

$13 \cdot 13$

Step 2.2

Multiply $13$ by $13$ .

$169$

$169$

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