Simplify: $361 x^{4} - y^{4}$

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Solution

$361 x^{4} - y^{4} = (19 x^{2}) - (y^{2})^{2} = (19 x^{2} + y^{2}) (19 x^{2} - y^{2}) = (19^{2} + y^{2}) (\sqrt{19 x + y}) (\sqrt{19 x - y})$

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