Factorize the following expression : \((a – b + c)^2 + (b – c + a)^2 + 2(a – b + c)(b – c + a)\)
\[
(a – b + c)^2 + (b – c + a)^2 + 2(a – b + c)(b – c + a)
\]
\[
= \left[(a – b + c) + (b – c + a)\right]^2
\]
\[
= (2a)^2
\]
\[
= 4a^2
\]