Calculus Examples

${(6)}^{2} + 2 (6) h + h^{2} + 3 - (6^{2} + 3)$

Step 1

Simplify each term.

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Step 1.1

Raise $6$ to the power of $2$ .

$36 + 2 (6) h + h^{2} + 3 - (6^{2} + 3)$

Step 1.2

Multiply $2$ by $6$ .

$36 + 12 h + h^{2} + 3 - (6^{2} + 3)$

Step 1.3

Raise $6$ to the power of $2$ .

$36 + 12 h + h^{2} + 3 - (36 + 3)$

Step 1.4

Add $36$ and $3$ .

$36 + 12 h + h^{2} + 3 - 1 \cdot 39$

Step 1.5

Multiply $- 1$ by $39$ .

$36 + 12 h + h^{2} + 3 - 39$

$36 + 12 h + h^{2} + 3 - 39$

Step 2

Simplify by adding terms.

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Step 2.1

Add $36$ and $3$ .

$12 h + h^{2} + 39 - 39$

Step 2.2

Combine the opposite terms in $12 h + h^{2} + 39 - 39$ .

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Step 2.2.1

Subtract $39$ from $39$ .

$12 h + h^{2} + 0$

Step 2.2.2

Add $12 h + h^{2}$ and $0$ .

$12 h + h^{2}$

$12 h + h^{2}$

$12 h + h^{2}$

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