Calculus Examples

$2 {(3)}^{3} - 30 {(3)}^{2} + 54 (3) + 1$

Step 1

Simplify each term.

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Step 1.1

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

$2 \cdot 27 - 30 {(3)}^{2} + 54 (3) + 1$

Step 1.2

Multiply $2$ by $27$ .

$54 - 30 {(3)}^{2} + 54 (3) + 1$

Step 1.3

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

$54 - 30 \cdot 9 + 54 (3) + 1$

Step 1.4

Multiply $- 30$ by $9$ .

$54 - 270 + 54 (3) + 1$

Step 1.5

Multiply $54$ by $3$ .

$54 - 270 + 162 + 1$

$54 - 270 + 162 + 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $270$ from $54$ .

$- 216 + 162 + 1$

Step 2.2

Add $- 216$ and $162$ .

$- 54 + 1$

Step 2.3

Add $- 54$ and $1$ .

$- 53$

$- 53$

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