Question

factorise
${x}^{8} - {y}^{8}$

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

${x}^{8} - {y}^{8} \\ = {( {x}^{4} )}^{2} - {( {y}^{4}) }^{2} \\ = ( {x}^{4} + {y}^{4} )( {x}^{4} - {y}^{4} ) \\ = ( {x}^{4} + {y}^{4} )( {( {x}^{2}) }^{2} - {( {y}^{2}) }^{2} ) \\ = ( {x}^{4} + {y}^{4} )( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) \\ = ( {x}^{4} + {y}^{4} )( {x}^{2} + {y}^{2} )(x + y)(x - y)$

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