Expand the Trigonometric Expression 1/2(2a-6b+8)

$\frac{1}{2} (2 a - 6 b + 8)$

Step 1

Apply the distributive property.

$\frac{1}{2} (2 a) + \frac{1}{2} (- 6 b) + \frac{1}{2} \cdot 8$

Step 2

Simplify.

Cancel the common factor of $2$ .

Factor $2$ out of $2 a$ .

$\frac{1}{2} (2 (a)) + \frac{1}{2} (- 6 b) + \frac{1}{2} \cdot 8$

Cancel the common factor.

$\frac{1}{2} (2 a) + \frac{1}{2} (- 6 b) + \frac{1}{2} \cdot 8$

Rewrite the expression.

$a + \frac{1}{2} (- 6 b) + \frac{1}{2} \cdot 8$

Cancel the common factor of $2$ .

Factor $2$ out of $- 6 b$ .

$a + \frac{1}{2} (2 (- 3 b)) + \frac{1}{2} \cdot 8$

Cancel the common factor.

$a + \frac{1}{2} (2 (- 3 b)) + \frac{1}{2} \cdot 8$

Rewrite the expression.

$a - 3 b + \frac{1}{2} \cdot 8$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

$a - 3 b + 4$