Calculus Examples

$y = {(4)}^{3} - 4 {(4)}^{2} - 16 \cdot 4 - 4$

Step 1

Remove parentheses.

$y = 4^{3} - 4 {(4)}^{2} - 16 \cdot 4 - 4$

Step 2

Remove parentheses.

$y = 4^{3} - 4 \cdot 4^{2} - 16 \cdot 4 - 4$

Step 3

Simplify $4^{3} - 4 \cdot 4^{2} - 16 \cdot 4 - 4$ .

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Raise $4$ to the power of $3$ .

$y = 64 - 4 \cdot 4^{2} - 16 \cdot 4 - 4$

Step 3.1.2

Raise $4$ to the power of $2$ .

$y = 64 - 4 \cdot 16 - 16 \cdot 4 - 4$

Step 3.1.3

Multiply $- 4$ by $16$ .

$y = 64 - 64 - 16 \cdot 4 - 4$

Step 3.1.4

Multiply $- 16$ by $4$ .

$y = 64 - 64 - 64 - 4$

$y = 64 - 64 - 64 - 4$

Step 3.2

Simplify by subtracting numbers.

Tap for more steps...

Step 3.2.1

Subtract $64$ from $64$ .

$y = 0 - 64 - 4$

Step 3.2.2

Subtract $64$ from $0$ .

$y = - 64 - 4$

Step 3.2.3

Subtract $4$ from $- 64$ .

$y = - 68$

$y = - 68$

$y = - 68$

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