Factorize a² - b² - c² + 2bc
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=a² - (b² -2bc +c²)
=a² - (b-c)²
=(a-(b-c))(a+(b-c)) [ using identity a²-b² =(a-b). (a+b) ]
= (a-b+c)(a+b-c)
hence.,a²-b²+2bc - c² = (a-b+c)(a+b-c)
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(a+b-c)(a-b+c); is the correct answer of the given question
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