The problem is to find the value of $(a+b)^2$ given that $a+b=33$ and $a-b=37$.

1. Problem Description

The problem is to find the value of $(a+b)^2$ given that $a+b=33$ and $a-b=37$.

2. Solution Steps

We are given $a+b = 33$. We need to find $(a+b)^2$.

Since we are given the value of $a+b$, we can simply substitute that value into the expression $(a+b)^2$.

$(a+b)^2 = (33)^2$

$33^2 = 33 \times 33 = 1089$

3. Final Answer

The final answer is 1089.