Calculus Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 3$ by $2$ .

$\frac{- 6 {(- 1)}^{2} - 2 \cdot - 1}{3 \cdot 2^{2} + {(- 1)}^{3}}$

Step 1.2

Raise $- 1$ to the power of $2$ .

$\frac{- 6 \cdot 1 - 2 \cdot - 1}{3 \cdot 2^{2} + {(- 1)}^{3}}$

Step 1.3

Multiply $- 6$ by $1$ .

$\frac{- 6 - 2 \cdot - 1}{3 \cdot 2^{2} + {(- 1)}^{3}}$

Step 1.4

Multiply $- 2$ by $- 1$ .

$\frac{- 6 + 2}{3 \cdot 2^{2} + {(- 1)}^{3}}$

Step 1.5

Add $- 6$ and $2$ .

$\frac{- 4}{3 \cdot 2^{2} + {(- 1)}^{3}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{- 4}{3 \cdot 4 + {(- 1)}^{3}}$

Step 2.2

Multiply $3$ by $4$ .

$\frac{- 4}{12 + {(- 1)}^{3}}$

Step 2.3

Raise $- 1$ to the power of $3$ .

$\frac{- 4}{12 - 1}$

Step 2.4

Subtract $1$ from $12$ .

$\frac{- 4}{11}$

Step 3

Move the negative in front of the fraction.

$- \frac{4}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{11}$

Decimal Form:

$- 0.\overline{36}$