Final answer:
The question involves simplifying an algebraic expression with a common denominator, combining the numerators, and further simplifying. The simplified result is (15x - 6) / (3x + 6).
Step-by-step explanation:
The question appears to involve algebraic expressions and the simplification or manipulation thereof. This is a mathematical concept typically taught at the high school level. The expressions given seem to require finding a common denominator and combining like terms or expanding and simplifying as necessary. Let's address the given expressions:
Expression: (17x-9)/(3x+6) - (2x-3)/(3x+6)
To simplify this expression, first note that the denominators are the same, which makes simplification straightforward. You combine the numerators and then divide by the common denominator.
Combining the numerators:
(17x - 9) - (2x - 3) = 17x - 9 - 2x + 3 = 15x - 6
Divide by the common denominator:
(15x - 6) / (3x + 6)
Simplifying further may be possible depending on the context or additional information. However, with the information provided, this is the simplified form of the original expression.