Calculus Examples

$y = {(3)}^{3} - 4 {(3)}^{2} - 3 \cdot 3 + 4$

Step 1

Remove parentheses.

$y = 3^{3} - 4 {(3)}^{2} - 3 \cdot 3 + 4$

Step 2

Remove parentheses.

$y = 3^{3} - 4 \cdot 3^{2} - 3 \cdot 3 + 4$

Step 3

Simplify $3^{3} - 4 \cdot 3^{2} - 3 \cdot 3 + 4$ .

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

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

$y = 27 - 4 \cdot 3^{2} - 3 \cdot 3 + 4$

Step 3.1.2

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

$y = 27 - 4 \cdot 9 - 3 \cdot 3 + 4$

Step 3.1.3

Multiply $- 4$ by $9$ .

$y = 27 - 36 - 3 \cdot 3 + 4$

Step 3.1.4

Multiply $- 3$ by $3$ .

$y = 27 - 36 - 9 + 4$

$y = 27 - 36 - 9 + 4$

Step 3.2

Simplify by adding and subtracting.

Tap for more steps...

Step 3.2.1

Subtract $36$ from $27$ .

$y = - 9 - 9 + 4$

Step 3.2.2

Subtract $9$ from $- 9$ .

$y = - 18 + 4$

Step 3.2.3

Add $- 18$ and $4$ .

$y = - 14$

$y = - 14$

$y = - 14$

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