Basic Math Examples

$\frac{(30 (3 + 0.01) - 3 {(3 + 0.01)}^{2}) - (30 \cdot 3 - 3 {(3)}^{2})}{0.01}$

Step 1

Simplify the numerator.

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Step 1.1

Add $3$ and $0.01$ .

$\frac{30 \cdot 3.01 - 3 {(3 + 0.01)}^{2} - (30 \cdot 3 - 3 \cdot 3^{2})}{0.01}$

Step 1.2

Multiply $30$ by $3.01$ .

$\frac{90.3 - 3 {(3 + 0.01)}^{2} - (30 \cdot 3 - 3 \cdot 3^{2})}{0.01}$

Step 1.3

Add $3$ and $0.01$ .

$\frac{90.3 - 3 \cdot {3.01}^{2} - (30 \cdot 3 - 3 \cdot 3^{2})}{0.01}$

Step 1.4

Raise $3.01$ to the power of $2$ .

$\frac{90.3 - 3 \cdot 9.0601 - (30 \cdot 3 - 3 \cdot 3^{2})}{0.01}$

Step 1.5

Multiply $- 3$ by $9.0601$ .

$\frac{90.3 - 27.1803 - (30 \cdot 3 - 3 \cdot 3^{2})}{0.01}$

Step 1.6

Simplify each term.

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Step 1.6.1

Multiply $30$ by $3$ .

$\frac{90.3 - 27.1803 - (90 - 3 \cdot 3^{2})}{0.01}$

Step 1.6.2

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

$\frac{90.3 - 27.1803 - (90 - 3 \cdot 9)}{0.01}$

Step 1.6.3

Multiply $- 3$ by $9$ .

$\frac{90.3 - 27.1803 - (90 - 27)}{0.01}$

Step 1.7

Subtract $27$ from $90$ .

$\frac{90.3 - 27.1803 - 1 \cdot 63}{0.01}$

Step 1.8

Multiply $- 1$ by $63$ .

$\frac{90.3 - 27.1803 - 63}{0.01}$

Step 1.9

Subtract $27.1803$ from $90.3$ .

$\frac{63.1197 - 63}{0.01}$

Step 1.10

Subtract $63$ from $63.1197$ .

$\frac{0.1197}{0.01}$

Step 2

Divide $0.1197$ by $0.01$ .

$11.97$