Question

xy^9-yx^9 factorise..pls

Answer 1

xy^9 - yx^9

xy (y^8 - x^8)

xy [(y⁴)² - (x⁴)²]

xy (y⁴ - x⁴)(y⁴ + x⁴)

xy ((y²)² - (x²)²)(y⁴ + x⁴)

xy (y² - x²)(y² + x²)(y⁴ + x⁴)

xy (y - x)(y + x)(y² + x²)(y⁴ + x⁴)

Answer 2

= xy⁹ - yx⁹

= xy ( y⁸ - x⁸ )

= xy { ( y⁴ )² - ( x⁴ )² }

= xy ( y⁴ + x⁴ ) ( y⁴ - x⁴ )

= xy ( y⁴ + x⁴ ) { (y²)² - (x²)² }

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

= xy ( y⁴ + x⁴) ( y² + x² ) ( y + x ) ( y - x ).