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x2 - 4xy + 4y2 - (x2 + 4xy + 4y2) =
x2 - 4xy + 4 y2 - x2 - 4xy - 4y2 = -8xy
(x+2y)²=x²+4xy+4y²
x²+4xy+4y²-(x²-4xy+4y²) = x²+4xy+4y²-x²+4xy-4y²=16xy