Basic Math Examples

$\frac{1}{2} \cdot (6 a + 4) + \frac{1}{2} \cdot (6 a - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$\frac{1}{2} (6 a) + \frac{1}{2} \cdot 4 + \frac{1}{2} \cdot (6 a - 4)$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6 a$ .

$\frac{1}{2} (2 (3 a)) + \frac{1}{2} \cdot 4 + \frac{1}{2} \cdot (6 a - 4)$

Step 1.2.2

Cancel the common factor.

$\frac{1}{2} (2 (3 a)) + \frac{1}{2} \cdot 4 + \frac{1}{2} \cdot (6 a - 4)$

Step 1.2.3

Rewrite the expression.

$3 a + \frac{1}{2} \cdot 4 + \frac{1}{2} \cdot (6 a - 4)$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$3 a + \frac{1}{2} \cdot (2 (2)) + \frac{1}{2} \cdot (6 a - 4)$

Step 1.3.2

Cancel the common factor.

$3 a + \frac{1}{2} \cdot (2 \cdot 2) + \frac{1}{2} \cdot (6 a - 4)$

Step 1.3.3

Rewrite the expression.

$3 a + 2 + \frac{1}{2} \cdot (6 a - 4)$

Step 1.4

Apply the distributive property.

$3 a + 2 + \frac{1}{2} (6 a) + \frac{1}{2} \cdot - 4$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $6 a$ .

$3 a + 2 + \frac{1}{2} (2 (3 a)) + \frac{1}{2} \cdot - 4$

Step 1.5.2

Cancel the common factor.

$3 a + 2 + \frac{1}{2} (2 (3 a)) + \frac{1}{2} \cdot - 4$

Step 1.5.3

Rewrite the expression.

$3 a + 2 + 3 a + \frac{1}{2} \cdot - 4$

Step 1.6

Cancel the common factor of $2$ .

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Step 1.6.1

Factor $2$ out of $- 4$ .

$3 a + 2 + 3 a + \frac{1}{2} \cdot (2 (- 2))$

Step 1.6.2

Cancel the common factor.

$3 a + 2 + 3 a + \frac{1}{2} \cdot (2 \cdot - 2)$

Step 1.6.3

Rewrite the expression.

$3 a + 2 + 3 a - 2$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $3 a + 2 + 3 a - 2$ .

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Step 2.1.1

Subtract $2$ from $2$ .

$3 a + 3 a + 0$

Step 2.1.2

Add $3 a + 3 a$ and $0$ .

$3 a + 3 a$

Step 2.2

Add $3 a$ and $3 a$ .

$6 a$