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)

Q18 of 111 Page 6

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:

a²+2ab+b²-c²

Factorize:

a²+4b²-4ab-4c²

Factorize:

x⁴+x²y²+y⁴

Factorize:

x²-y²-4xz+4z²

Factorize:xy9–yx9