How to Factorize a 2 + b 2 - 2(ab-ac+bc)
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A ² + B ² – 2(AB–AC+BC)
= A²+B²+C²–2AB–2BC+2CA–C²
= (A–B+C)² – C²
= (A–B+C+C) (A–B+C–C)
= (A–B+2C)(A–B)
= A²+B²+C²–2AB–2BC+2CA–C²
= (A–B+C)² – C²
= (A–B+C+C) (A–B+C–C)
= (A–B+2C)(A–B)
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