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a2 - b2 - c2 + 2bc + a + b - c
= [a2 - (b2 + c2 - 2bc)] + (a + b - c)
= [a2 - (b - c)2] + (a + b + c)
= [(a + b - c)(a - b + c) + (a + b - c)]
= (a + b - c) (a - b + c + 1)
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