Final answer:
To simplify the expression 3(5x - 4 + 2y) using the distributive property, you need to distribute the 3 to each term inside the parentheses. The simplified expression is 15x - 12 + 6y.
Step-by-step explanation:
To simplify the expression 3(5x - 4 + 2y) using the distributive property, you need to distribute the 3 to each term inside the parentheses. This means multiplying 3 by each term individually.
3 * 5x = 15x
3 * -4 = -12
3 * 2y = 6y
Combining these results, the simplified expression is 15x - 12 + 6y.
Therefore, the correct answer is A) 15x - 12 + 6y.