Pre-Algebra Examples

$5 (3^{2} + 2) - 2 (6^{2} - 5^{2})$

Step 1

Simplify each term.

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Step 1.1

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

$5 (9 + 2) - 2 (6^{2} - 5^{2})$

Step 1.2

Add $9$ and $2$ .

$5 \cdot 11 - 2 (6^{2} - 5^{2})$

Step 1.3

Multiply $5$ by $11$ .

$55 - 2 (6^{2} - 5^{2})$

Step 1.4

Simplify each term.

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Step 1.4.1

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

$55 - 2 (36 - 5^{2})$

Step 1.4.2

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

$55 - 2 (36 - 1 \cdot 25)$

Step 1.4.3

Multiply $- 1$ by $25$ .

$55 - 2 (36 - 25)$

$55 - 2 (36 - 25)$

Step 1.5

Subtract $25$ from $36$ .

$55 - 2 \cdot 11$

Step 1.6

Multiply $- 2$ by $11$ .

$55 - 22$

$55 - 22$

Step 2

Subtract $22$ from $55$ .

$33$

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