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Factorize the following

4b²c²- (b² + c² - a² )²

$Given 4 b^{2} c^{2} - (b^{2} + c^{2} - a^{2})^{2} \Rightarrow (2 b c)^{2} - (b^{2} + c^{2} - a^{2})^{2} \Rightarrow (2 b c + b^{2} + c^{2} - a^{2}) (2 b c - b^{2} - c^{2} + a^{2}) \Rightarrow ((b + c)^{2} - a^{2}) (a^{2} - (b - c)^{2}) \Rightarrow (a + b + c) (b + c - a) (a + b - c) (a - b + c)$

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