### Instruction: Compute $(4+8)^2+(4^2+8^2)$.### Response: I see that this problem involves some exponents and parentheses, so I want to apply the order of operations (PEMDAS) to simplify it.
First, I will work inside the parentheses and evaluate the expressions there.
For $(4+8)^2$, I can add 4 and 8 to get 12, and then square that to get 144.
For $(4^2+8^2)$, I can square 4 and 8 separately and then add them. 4 squared is 16 and 8 squared is 64, so 16 plus 64 is 80.