Factorize the Expression (a – b + c)² + (b – c + a)² + 2(a – b + c)(b – c + a)

Factorize the following expression : \((a – b + c)^2 + (b – c + a)^2 + 2(a – b + c)(b – c + a)\)

\[ (a – b + c)^2 + (b – c + a)^2 + 2(a – b + c)(b – c + a) \] \[ = \left[(a – b + c) + (b – c + a)\right]^2 \] \[ = (2a)^2 \] \[ = 4a^2 \]

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