Question

factorise it x12-y12​

Answer 1

Step-by-step explanation:

$= {x}^{12} - {y}^{12} \\ = {( {x}^{6} )}^{2} - {( {y}^{6} )}^{2} \\ = ( {x}^{6} + {y}^{6} )( {x}^{6} - {y}^{6} ) \\ = ( {x}^{6} + {y}^{6} )( {( {x}^{3} )}^{2} - {( {y}^{3} )}^{2} ) \\ = ( {x}^{6} + {y}^{6} )( {x}^{3} + {y}^{3} )( {x}^{3} - {y}^{3} ) \\ = ( {x}^{6} + {y}^{6} )(x + y)( {x}^{2} - xy + {y}^{2} )(x - y)( {x}^{2} + xy + {y}^{2} )$

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