Final answer:
To simplify the given expression, divide each term by 3x^5y^2 and simplify the exponents accordingly.
Step-by-step explanation:
To simplify the expression 12x6y4 + 15x6y7 - 18x2y divided by 3x5y2, we can use the rules of exponents. To divide two terms with the same base, we subtract the exponents. Thus, the exponents of x and y in the numerator are reduced by the exponents in the denominator.
In this case, the simplified expression is:
(12/3)x(6-5)y(4-2) + (15/3)x(6-5)y(7-2) - (18/3)x(2-5)y(1-2)
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