D) 4a-3a²b-6³ - 4ab².
Explanation:
To simplify the expression 4a - b(3a² + b² + 4ab), you can use the distributive property to expand the term inside the parentheses:
4a - b(3a² + b² + 4ab)
= 4a - b3a² - bb² - b*4ab
= 4a - 3a²b - b³ - 4ab²
The correct answer is therefore D) 4a-3a²b-6³ - 4ab².