Question

factorize x¹² - y¹² = ??​

Answer 1

$\sf{ \looparrowright Identity \: used \: = {x}^{2} - {y}^{2} = (x + y)(x - y) } \\ \:$

$\sf{ \looparrowright \: Solution : }$

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

$\texttt{Refer to attachment for full solution}$