Question

Factorise using algebraic identity:
$x {y}^{5} - y {x}^{5}$
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Answer 1

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Step-by-step explanation:

$\large \rightarrow \: x {y}^{5} - y {x}^{5}$

$\large \rightarrow \: xy( {y}^{4} - {x}^{4} )$

$\large \rightarrow \: xy( {y}^{2} - {x}^{2} )( {y}^{2} + {x}^{2} )$

$\large \rightarrow \: xy(y - x)(y + x)( {y}^{2} + {x}^{2} )$