Calculus Examples

$3 (3 x + 2) - 3 (3 x - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (3 x) + 3 \cdot 2 - 3 (3 x - 2)$

Step 1.2

Multiply $3$ by $3$ .

$9 x + 3 \cdot 2 - 3 (3 x - 2)$

Step 1.3

Multiply $3$ by $2$ .

$9 x + 6 - 3 (3 x - 2)$

Step 1.4

Apply the distributive property.

$9 x + 6 - 3 (3 x) - 3 \cdot - 2$

Step 1.5

Multiply $3$ by $- 3$ .

$9 x + 6 - 9 x - 3 \cdot - 2$

Step 1.6

Multiply $- 3$ by $- 2$ .

$9 x + 6 - 9 x + 6$

$9 x + 6 - 9 x + 6$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $9 x + 6 - 9 x + 6$ .

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Step 2.1.1

Subtract $9 x$ from $9 x$ .

$0 + 6 + 6$

Step 2.1.2

Add $0$ and $6$ .

$6 + 6$

$6 + 6$

Step 2.2

Add $6$ and $6$ .

$12$

$12$

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