Final answer:
The expression (3)/(17y²)-(9)/(2y) is already in its simplest form because the denominators 17y² and 2y cannot be combined as they have no common factors other than y.
Step-by-step explanation:
We need to simplify the expression (3)/(17y²)-(9)/(2y). Both terms have variables in the denominator, so we may need a common denominator to combine them. However, because they involve different powers of y, they cannot be combined directly.
The first step is checking if one denominator is a multiple of the other; it is not the case here since 17y² and 2y have no common factors other than y. Therefore, the expression in its simplest form cannot combine these two fractions into one because their denominators are not compatible for adding or subtracting. The best we can do is to ensure the coefficients and the terms are in their simplest form, and they already are. Thus, the expression (3)/(17y²)-(9)/(2y) is already in its simplest form.