分解因式：(x²+y²)²-4x²y²

分解因式：(x²+y²)²-4x²y²
分解因式：(x²+y²)²-4x²y²

分解因式：(x²+y²)²-4x²y²
(x²+y²)²-4x²y²
=（x²+y²+2xy）(x²+y²-2xy)
=(x+y)²(x-y)²
如果本题有什么不明白可以追问,

(x²+y²)²-4x²y²
=(x²+y²-2xy)(x²+y²+2xy)
=(x-y)²(x+y)²

(x²+y²)²-4x²y²=x4+y4+2x²y²-4x²y²=(x²-y²)²=（x-y）2（x+y）2

X4+y4+2x2y2-4x2y2=x4+y4-2x2y2=（x2-y2）2

(x²+y²)²-4x²y²
=x⁴+2x²y²+y⁴-4x²y²
=x⁴-2x²y²+y⁴
=(x²-y²)²
=[（x+y）（x-y）]²

=[（x+y）（x-y）]²