分解因式（1）（m^2+n^2)^2-4m^2n^2 (2)x^2+2x+1-y^2 (3)x^2-2xy+y^2-2x+2y+1
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1.
(m²+n²)²-4m²n²
=(m²+n²+2mn)(m²+n²-2mn)
=(m+n)²(m-n)²
2.
x²+2x+1-y²
=(x+1)²-y²
=(x+y+1)(x-y+1)
3.
x²-2xy+y²-2x+2y+1
=(x-y)²-2(x-y)+1
=(x-y-1)²
(m²+n²)²-4m²n²
=(m²+n²+2mn)(m²+n²-2mn)
=(m+n)²(m-n)²
2.
x²+2x+1-y²
=(x+1)²-y²
=(x+y+1)(x-y+1)
3.
x²-2xy+y²-2x+2y+1
=(x-y)²-2(x-y)+1
=(x-y-1)²
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