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Factorize: xy^9–yx^9

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Factorize:

xy9–yx9

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Given, 

xy9 - yx9 = xy (y8-x8) 

= xy ((y4)2 – (x4)2)

= xy (y4+x4) (y4 - x4)

= xy (y4+x4) (y2-x2) (y2+x2)

= xy (y4+x4) (y2+x2) (y – x) (y+x)

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