Question

factorize:x^16- y^16​

Answer 1

${x}^{16} - {y}^{16}$

$(x - y) {}^{16}$

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Answer 2

Solution:-

${x}^{16} - {y}^{16} \\ \\ ( {x}^{8} {)}^{2} - ( {y}^{8} {)}^{2} \\ \\ ( {x}^{8} + {y}^{8}) \: ( {x}^{8} - {y}^{8})$

Therefore, the answer is

$\boxed{( {x}^{8} + {y}^{8}) \: ( {x}^{8} - {y}^{8})}$