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The way it's written doesn't suggest addition. I'll explain what I mean by giving you two answers :-).
If the equation truly is (x+2y)(x+2y), then you're multiplying those expressions together using FOIL, which stands for first, outer, inner, last.
First: x * x
PEMDAS stands for Parenthesis, Exponents, Multiply/Divide, and Addition/Subtract...IN THAT ORDER. It's very important you follow this "order of operations".
Start by solving the problems/values in parenthesis. If there are exponents, you must evaluate/solve those...