Question

Помогите разложить на множители x^4+x^2y^2++y^4

Answer 1

x⁴+x²y²+y⁴=x⁴+x²y²+y⁴+x²y²-x²y²=
=x⁴+2x²y²+y⁴-x²y²=(x²+y²)²-(xy)²=(x²+y²-xy)(x²+y²+xy)

Answer 2

$x^4+x^2y^2+y^4= (x^4+2x^2y^2+y^4)-x^2y^2=(x^2+y^2)^2-x^2y^2= \\ =(x^2-xy+y^2)(x^2+xy+y^2)$