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(x-y)²(x+y)²(x²-xy+y²)²(x²+xy+y²)² 等于几?

题目详情
(x-y)²(x+y)²(x²-xy+y²)²(x²+xy+y²)² 等于几?
▼优质解答
答案和解析
(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