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Factorize: a^2 + 2ab + b^2 – c^2.

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Factorize: a2 + 2ab + b2 – c2.

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a2 + 2ab + b2 – c2 

= (a2 + 2ab + b2) – c2 

= (a + b)2 – (c)2 

We know, a2 – b2 = (a + b) (a – b) 

= (a + b + c) (a + b – c) 

Therefore a2 + 2ab + b2 – c2 = (a + b + c) (a + b – c)

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