Expand the Trigonometric Expression 8k-5(-5k+3)

$8 k - 5 (- 5 k + 3)$

Step 1

Simplify each term.

Apply the distributive property.

$8 k - 5 (- 5 k) - 5 \cdot 3$

Multiply $- 5$ by $- 5$ .

$8 k + 25 k - 5 \cdot 3$

Multiply $- 5$ by $3$ .

$8 k + 25 k - 15$

Step 2

Add $8 k$ and $25 k$ .

$33 k - 15$