Question

factorize the expression: x4 - y4​

Answer 1

${x}^{4} - {y}^{4} = ({x}^{2})^{2} - { ({y}^{2} )}^{2} \\ = { ({x}^{2}) }^{2} - {( {y}^{2} )}^{2} = ({x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} ) \\ (x + y)(x - y)( {x}^{2} + {y}^{2} )$

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