Calculus Examples

$6 {(3)}^{3} - 18 {(3)}^{2} - 36 \cdot 3 + 1$

Step 1

Simplify each term.

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Step 1.1

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

$6 \cdot 27 - 18 {(3)}^{2} - 36 \cdot 3 + 1$

Step 1.2

Multiply $6$ by $27$ .

$162 - 18 {(3)}^{2} - 36 \cdot 3 + 1$

Step 1.3

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

$162 - 18 \cdot 9 - 36 \cdot 3 + 1$

Step 1.4

Multiply $- 18$ by $9$ .

$162 - 162 - 36 \cdot 3 + 1$

Step 1.5

Multiply $- 36$ by $3$ .

$162 - 162 - 108 + 1$

$162 - 162 - 108 + 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $162$ from $162$ .

$0 - 108 + 1$

Step 2.2

Subtract $108$ from $0$ .

$- 108 + 1$

Step 2.3

Add $- 108$ and $1$ .

$- 107$

$- 107$

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