Calculus Examples

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

Step 1

Multiply $- 5$ by $3$ .

$- \frac{- 15 {(- 3)}^{2}}{2 {(- 3)}^{3} - (- 5)}$

Step 2

Simplify the denominator.

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Step 2.1

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

$- \frac{- 15 {(- 3)}^{2}}{2 \cdot - 27 - (- 5)}$

Step 2.2

Multiply $2$ by $- 27$ .

$- \frac{- 15 {(- 3)}^{2}}{- 54 - (- 5)}$

Step 2.3

Multiply $- 1$ by $- 5$ .

$- \frac{- 15 {(- 3)}^{2}}{- 54 + 5}$

Step 2.4

Add $- 54$ and $5$ .

$- \frac{- 15 {(- 3)}^{2}}{- 49}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

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

$- \frac{- 15 \cdot 9}{- 49}$

Step 3.2

Multiply $- 15$ by $9$ .

$- \frac{- 135}{- 49}$

Step 3.3

Dividing two negative values results in a positive value.

$- \frac{135}{49}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{135}{49}$

Decimal Form:

$- 2.75510204 \dots$

Mixed Number Form:

$- 2 \frac{37}{49}$