(x^2-2xy+4y^2)(x^2+2xy+4y^2)
=(x^2+4y^2-2xy)(x^2+4y^2+2xy)
=(x^2+4y^2)²-(2xy)²
=x^4+8x^2y^2+(4y^2)^2-4x^2y^2
=x^4-4x^2y^2+(4y^2)^2
=(x^2-4y^2)²
=(x+2y)²(x-2y)²
(x^2-2xy+4y^2)(x^2+2xy+4y^2)
=(x^2+4y^2-2xy)(x^2+4y^2+2xy)
=(x^2+4y^2)²-(2xy)²
=x^4+8x^2y^2+(4y^2)^2-4x^2y^2
=x^4-4x^2y^2+(4y^2)^2
=(x^2-4y^2)²
=(x+2y)²(x-2y)²