Basic Math Examples

$\frac{18 + 5^{2} \cdot 2 - 6}{10 - 8}$

Step 1

Cancel the common factor of $18 + 5^{2} \cdot 2 - 6$ and $10 - 8$ .

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Step 1.1

Factor $2$ out of $18$ .

$\frac{2 (9) + 5^{2} \cdot 2 - 6}{10 - 8}$

Step 1.2

Factor $2$ out of $5^{2} \cdot 2$ .

$\frac{2 (9) + 2 \cdot 5^{2} - 6}{10 - 8}$

Step 1.3

Factor $2$ out of $2 (9) + 2 \cdot 5^{2}$ .

$\frac{2 (9 + 5^{2}) - 6}{10 - 8}$

Step 1.4

Factor $2$ out of $- 6$ .

$\frac{2 (9 + 5^{2}) + 2 \cdot - 3}{10 - 8}$

Step 1.5

Factor $2$ out of $2 (9 + 5^{2}) + 2 \cdot - 3$ .

$\frac{2 (9 + 5^{2} - 3)}{10 - 8}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $10$ .

$\frac{2 (9 + 5^{2} - 3)}{2 (5) - 8}$

Step 1.6.2

Factor $2$ out of $- 8$ .

$\frac{2 (9 + 5^{2} - 3)}{2 \cdot 5 + 2 \cdot - 4}$

Step 1.6.3

Factor $2$ out of $2 \cdot 5 + 2 \cdot - 4$ .

$\frac{2 (9 + 5^{2} - 3)}{2 \cdot (5 - 4)}$

Step 1.6.4

Cancel the common factor.

$\frac{2 (9 + 5^{2} - 3)}{2 \cdot (5 - 4)}$

Step 1.6.5

Rewrite the expression.

$\frac{9 + 5^{2} - 3}{5 - 4}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{9 + 25 - 3}{5 - 4}$

Step 2.2

Add $9$ and $25$ .

$\frac{34 - 3}{5 - 4}$

Step 2.3

Subtract $3$ from $34$ .

$\frac{31}{5 - 4}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $4$ from $5$ .

$\frac{31}{1}$

Step 3.2

Divide $31$ by $1$ .

$31$