Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $3$ .

$6 a + 2 \cdot 2 - (3 a - 2) \cdot 2$

Step 1.3

Multiply $2$ by $2$ .

$6 a + 4 - (3 a - 2) \cdot 2$

Step 1.4

Apply the distributive property.

$6 a + 4 + (- (3 a) - - 2) \cdot 2$

Step 1.5

Multiply $3$ by $- 1$ .

$6 a + 4 + (- 3 a - - 2) \cdot 2$

Step 1.6

Multiply $- 1$ by $- 2$ .

$6 a + 4 + (- 3 a + 2) \cdot 2$

Step 1.7

Apply the distributive property.

$6 a + 4 - 3 a \cdot 2 + 2 \cdot 2$

Step 1.8

Multiply $2$ by $- 3$ .

$6 a + 4 - 6 a + 2 \cdot 2$

Step 1.9

Multiply $2$ by $2$ .

$6 a + 4 - 6 a + 4$

$6 a + 4 - 6 a + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $6 a + 4 - 6 a + 4$ .

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Step 2.1.1

Subtract $6 a$ from $6 a$ .

$0 + 4 + 4$

Step 2.1.2

Add $0$ and $4$ .

$4 + 4$

$4 + 4$

Step 2.2

Add $4$ and $4$ .

$8$

$8$

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