Basic Math Examples

$\frac{2 \cdot (- {1.01}^{2}) + 12 \cdot - 1.01 + 10}{(- {1.01}^{2}) - (2 \cdot - 1.01) - (3)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $2$ by $- 1$ .

$\frac{- 2 \cdot {1.01}^{2} + 12 \cdot - 1.01 + 10}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 1.2

Raise $1.01$ to the power of $2$ .

$\frac{- 2 \cdot 1.0201 + 12 \cdot - 1.01 + 10}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 1.3

Multiply $- 2$ by $1.0201$ .

$\frac{- 2.0402 + 12 \cdot - 1.01 + 10}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 1.4

Multiply $12$ by $- 1.01$ .

$\frac{- 2.0402 - 12.12 + 10}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 1.5

Subtract $12.12$ from $- 2.0402$ .

$\frac{- 14.1602 + 10}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 1.6

Add $- 14.1602$ and $10$ .

$\frac{- 4.1602}{- {1.01}^{2} - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $1.01$ to the power of $2$ .

$\frac{- 4.1602}{- 1 \cdot 1.0201 - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 2.2

Multiply $- 1$ by $1.0201$ .

$\frac{- 4.1602}{- 1.0201 - 1 \cdot 2 \cdot - 1.01 - (3)}$

Step 2.3

Multiply $- 1 \cdot 2 \cdot - 1.01$ .

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Step 2.3.1

Multiply $- 1$ by $2$ .

$\frac{- 4.1602}{- 1.0201 - 2 \cdot - 1.01 - (3)}$

Step 2.3.2

Multiply $- 2$ by $- 1.01$ .

$\frac{- 4.1602}{- 1.0201 + 2.02 - (3)}$

Step 2.4

Multiply $- 1$ by $3$ .

$\frac{- 4.1602}{- 1.0201 + 2.02 - 3}$

Step 2.5

Add $- 1.0201$ and $2.02$ .

$\frac{- 4.1602}{0.9999 - 3}$

Step 2.6

Subtract $3$ from $0.9999$ .

$\frac{- 4.1602}{- 2.0001}$

Step 3

Divide $- 4.1602$ by $- 2.0001$ .

$2.079996$