Question

factories this

^6 + y^6

Answer 1

$= > {x}^{6} + {y}^{6} \\ \\ = > ( { {x}^{2} )}^{3} + ( { {y}^{2}) }^{3} \: \: \: \: \: .....Eq _{1}$
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◢WE KNOW THAT

$= > {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$
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◢USING THIS IDENTITY FOR EQ(1)

● WE GET,

$= > {x}^{6} + {y}^{6} \\ \\ = > ( { {x}^{2} )}^{3} + ( { {y}^{2}) }^{3} \\ \\ = > ( {x}^{2} + {y}^{2} )[( { {x}^{2} )}^{2} - {x}^{2} . {y}^{2} + ( { {y}^{2}) }^{2} ] \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{4} - {x}^{2} . {y}^{2} + {y}^{4} )$
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☆$BE \: \: BRAINLY$☆