(x-y)²(x+y)²(x²-xy+y²)²(x²+xy+y²)²
=[(x+y)(x²-xy+y²)]²[(x-y)²(x²+xy+y²)]²
=(x³+y³)²(x³-y³)²
=[(x³+y³)(x³-y³)]²
=(x^6-y^6)²
=x^12-2x^6y^6+y^12
(x-y)²(x+y)²(x²-xy+y²)²(x²+xy+y²)²
=[(x+y)(x²-xy+y²)]²[(x-y)²(x²+xy+y²)]²
=(x³+y³)²(x³-y³)²
=[(x³+y³)(x³-y³)]²
=(x^6-y^6)²
=x^12-2x^6y^6+y^12