Question

Factorise x⁴-y⁴.
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Answer 1

${x}^{4} - {y}^{4}$

$= ({x}^{2})^{2} - ( {y}^{2} )^{2}$

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

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

Answer 2

Answer:

(x+y)(x-y)(x^2 + y^2)

Step-by-step explanation:

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