Factorize the Expression a² – b² + 2bc – c²

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

\[ a^2 – b^2 + 2bc – c^2 \] \[ = a^2 – (b^2 – 2bc + c^2) \] \[ = a^2 – (b – c)^2 \] \[ = (a – b + c)(a + b – c) \]

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