Question

factorise
$xy^{9} -x^{9}y$
​

Answer 1

Answer:

$xy^{9} -x^{9}y$

xy ( y ^8 - x ^8)

=> xy { ( y^4) ^2 - ( x^4) ^2 }

=> xy{( y^4 + x^4 ) ( y^4 - x^4 )

=> xy { ( y^4 + x^4) [ ( y^2)^2 - ( x^2 ) ^2 ]}

=> xy { ( y^4 + x^4) [ ( y^2 -x^2)( y^2 + x^2) ]

=> xy ( y^4 + x^4)( y^2 + x^2) ( y - x) ( y + x )