Answer: Putting it all together, the result of the division is:
(2) (6x² + 3xy) ÷ 3x = 4x + 2y
Explanation:
To divide (2) (6x² + 3xy) by 3x, we can distribute the 2 to each term inside the parentheses:
(2) (6x² + 3xy) = 12x² + 6xy
Now we can divide each term by 3x:
(12x² + 6xy) ÷ 3x = (12x² ÷ 3x) + (6xy ÷ 3x)
Simplifying each term separately:
12x² ÷ 3x = 4x
6xy ÷ 3x = 2y