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a^2+2ab+2ac-2bc-3b^2 =a^2-2ab+b^2+2ac-2bc-4b^2+4ab =(a-b)^2+2c(a-b)+4b(a-b) =(a-b)(a-b+2c+4b) ==(a-b)(a+3b+2c)
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