Question

X⁴+x²y²+y⁴.resolve in factors

Answer 1

x^4+x²y²+y^4

=(x²)²+x²y²+(y²)²

=(x²+y²)²

=(x²+y²)(x²+y²)

Answer 2

Answer: assume that x^2y^2-x^2y^2 are add to

x^4+x^2y^2+y^4

x^4+x^2y^2+y^4+x^2y^2-x^2y^2

(x^4+2x^2y^2+y^4) - x^2y^2

(x^2+y^2)^2 - (xy)^2

(x^2+y^2-xy) (x^2+y^2+xy)