Basic Math Examples

$\frac{30 + 5 (2^{2} - 1)}{3 \cdot 5 - 12}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{30 + 5 (4 - 1)}{3 \cdot 5 - 12}$

Step 1.2

Subtract $1$ from $4$ .

$\frac{30 + 5 \cdot 3}{3 \cdot 5 - 12}$

Step 1.3

Multiply $5$ by $3$ .

$\frac{30 + 15}{3 \cdot 5 - 12}$

Step 1.4

Add $30$ and $15$ .

$\frac{45}{3 \cdot 5 - 12}$

$\frac{45}{3 \cdot 5 - 12}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $3$ by $5$ .

$\frac{45}{15 - 12}$

Step 2.2

Subtract $12$ from $15$ .

$\frac{45}{3}$

$\frac{45}{3}$

Step 3

Divide $45$ by $3$ .

$15$

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