Question

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

Answer 1

solution:

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

#Amrit⭐