Factorize: xy 9 –yx 9

Given, xy 9 - yx 9 = 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 -x 2 ) (y 2 +x 2 ) = xy (y 4 +x 4 ) (y 2 +x 2 ) (y – x) (y+x)

Factorize: xy 9

Factorize:
xy⁹–yx⁹

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)

Factorize:xy9–yx9

Factorize:
xy⁹–yx⁹