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(a^2 + 2ab + 2b^2)^2 = a^4 + 2a^3b + a^2b^2 + 2a^3b + 4a^2b^2 + 2ab^3 + a^2b^2 + 2ab^3 + b^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4