According to the order of operations, we need to evaluate the expression inside the parentheses before we square the result.
3+6=9
⇓
(3+6)^2=9^2
The correct answer is B.
Checking Our Answer
What is the problem with the other options?
Let's see why the other options are not correct.
A: 2* 3+2* 6 is (3+6)2. We get this if we multiply (3+6) by 2 instead of raising it to the second power.
C: In evaluating 3^2+6^2, we square the numbers first and add the results instead of adding the numbers first and squaring the result.
D: 3^2* 6^2 is (3* 6)^2. It is the square of the product, and not the square of the sum.
You can also use a calculator to evaluate these expressions.