Final answer:
The complex fraction (2x - 3 - 3x) / (3x - 3) simplifies to (-x - 3) / (3x - 3), which corresponds to option (a) is correct.
Step-by-step explanation:
The student is asking to simplify the complex fraction (2x - 3 - 3x) / (3x - 3). First, let's combine like terms in the numerator:
(2x - 3x) - 3 = -x - 3
The simplified numerator is therefore -x - 3. Next, we look at the denominator, which remains (3x - 3). To simplify further, we could factor out a 3 from the denominator to see if there is a common factor that could be canceled, but in this case, factoring does not help as the numerator cannot be further simplified with the factor of 3. So, the simplified form of the complex fraction is:
(-x - 3) / (3x - 3).
The correct option from the provided list would be (a) (-x - 3) / (3x - 3).
To simplify the complex fraction (2x - 3 - 3x) / (3x - 3), we can combine like terms in the numerator and denominator. In the numerator, we have (2x - 3 - 3x) = -x - 3. In the denominator, we have (3x - 3). Therefore, the simplified form of the complex fraction is (-x - 3) / (3x - 3).