Final answer:
Given that a=b, the expression 3aa translates to 3bb or 3b² after substitution. None of the options provided match this expression, therefore the correct answer is d. None of the above.
Step-by-step explanation:
If a=b, then we are looking for which of the following options is equal to 3aa. Since a=b, we can replace 'a' with 'b' in 3aa. Therefore, 3aa becomes 3bb, which can also be written as 3b².
Now, looking at the options provided:
- 3⋅ 4 is simply 12 and is not dependent on the value of 'a' or 'b'.
- 3+5 is a sum that does not reflect the expression 3aa or 3b².
- 3b implies 3 times 'b' but does not include squaring 'b', so this is not equivalent to 3aa or 3b².
- Option d states 'none of the above', which by elimination, is the correct choice since none of the other options are equal to 3aa or 3b².
Therefore, the correct answer is d. None of the above.