Expand the Trigonometric Expression 1/2(8t-10)

$\frac{1}{2} (8 t - 10)$

Step 1

Apply the distributive property.

$\frac{1}{2} (8 t) + \frac{1}{2} \cdot - 10$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $8 t$ .

$\frac{1}{2} (2 (4 t)) + \frac{1}{2} \cdot - 10$

Cancel the common factor.

$\frac{1}{2} (2 (4 t)) + \frac{1}{2} \cdot - 10$

Rewrite the expression.

$4 t + \frac{1}{2} \cdot - 10$

$4 t + \frac{1}{2} \cdot - 10$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $- 10$ .

$4 t + \frac{1}{2} \cdot (2 (- 5))$

Cancel the common factor.

$4 t + \frac{1}{2} \cdot (2 \cdot - 5)$

Rewrite the expression.

$4 t - 5$

$4 t - 5$

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