English, asked by reshul, 1 year ago

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

Answers

Answered by UnknownDude
4
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 {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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