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Algebraic Identities

Factorize x6 ...

Question

Factorize $x^{6} + y^{6}$

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Solution

$x^{6} + y^{6} = (x^{2})^{3} + (y^{2})^{3} = (x^{2} + y^{2}) [x^{4} - x^{2} y^{2} + y^{4}]$

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