Given,x4+x2y2+y4 = x4+2x2y2+y4 – x2y2= (x2y2)2 – (xy)2= (x2+ y2 – xy) (x2+ y2 + xy)

Q19 of 111 Page 6

Factorize:
x⁴+x²y²+y⁴

Given,

x⁴+x²y²+y⁴ = x⁴+2x²y²+y⁴ – x²y²

= (x²y²)² – (xy)²

= (x²+ y² – xy) (x²+ y² + xy)

Factorize:

a²+4b²-4ab-4c²

Factorize:

xy⁹–yx⁹

Factorize:

x²-y²-4xz+4z²

Factorize:

x²+6x+10

Factorize:x4+x2y2+y4