Final answer:
The simplified form of the expression (1)/(3)(9-6u) is (1/3) * (1/(9-6u)), which cannot be simplified further.
Step-by-step explanation:
The student is asking to simplify the expression (1)/(3)(9-6u). This expression can be simplified by first distributing the division across the terms in the parenthesis. We have:
(1/3) * (1/(9-6u))
This expression cannot be simplified any further algebraically because there are no like terms to combine and no factors common to the numerator and the denominator that can be divided to simplify the fraction. However, it's always good practice to check the answer to ensure it is reasonable and that no mistakes were made during the simplification process.
When we eliminate terms wherever possible, we'd typically look for terms that can be cancelled out in a fraction or combined due to being like terms. In this case, since the expression is already in simplified form after distributing the division, there is nothing further to cancel out or combine.
It's important to note that in a more complex equation or one involving units, you would follow the same principles by simplifying terms and ensuring the final units are correct, as in the cancellation of units in complex fractions.