Calculus Examples

$80 - 3 {(4 + h)}^{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite ${(4 + h)}^{2}$ as $(4 + h) (4 + h)$ .

$80 - 3 ((4 + h) (4 + h))$

Step 1.2

Expand $(4 + h) (4 + h)$ using the FOIL Method.

Tap for more steps...

Step 1.2.1

Apply the distributive property.

$80 - 3 (4 (4 + h) + h (4 + h))$

Step 1.2.2

Apply the distributive property.

$80 - 3 (4 \cdot 4 + 4 h + h (4 + h))$

Step 1.2.3

Apply the distributive property.

$80 - 3 (4 \cdot 4 + 4 h + h \cdot 4 + h \cdot h)$

$80 - 3 (4 \cdot 4 + 4 h + h \cdot 4 + h \cdot h)$

Step 1.3

Simplify and combine like terms.

Tap for more steps...

Step 1.3.1

Simplify each term.

Tap for more steps...

Step 1.3.1.1

Multiply $4$ by $4$ .

$80 - 3 (16 + 4 h + h \cdot 4 + h \cdot h)$

Step 1.3.1.2

Move $4$ to the left of $h$ .

$80 - 3 (16 + 4 h + 4 \cdot h + h \cdot h)$

Step 1.3.1.3

Multiply $h$ by $h$ .

$80 - 3 (16 + 4 h + 4 h + h^{2})$

$80 - 3 (16 + 4 h + 4 h + h^{2})$

Step 1.3.2

Add $4 h$ and $4 h$ .

$80 - 3 (16 + 8 h + h^{2})$

$80 - 3 (16 + 8 h + h^{2})$

Step 1.4

Apply the distributive property.

$80 - 3 \cdot 16 - 3 (8 h) - 3 h^{2}$

Step 1.5

Simplify.

Tap for more steps...

Step 1.5.1

Multiply $- 3$ by $16$ .

$80 - 48 - 3 (8 h) - 3 h^{2}$

Step 1.5.2

Multiply $8$ by $- 3$ .

$80 - 48 - 24 h - 3 h^{2}$

$80 - 48 - 24 h - 3 h^{2}$

$80 - 48 - 24 h - 3 h^{2}$

Step 2

Subtract $48$ from $80$ .

$32 - 24 h - 3 h^{2}$

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