(x²-y²-2x+1)÷(x+y-1)
=[(x-1)²-y²]÷(x+y-1)
=(x+y-1)(x-y-1)÷(x+y-1)
=x-y-1
2.(x^4-2x²+1）÷(x²+2x+1)
=(x²-1)²÷(x+1)²
=(x+1)²(x-1)²÷(x+1)²
=(x-1)²
3.(a^4-16)÷（a-2)
=(a²+4)(a²-4）÷（a-2)
=(a²+4)(a+2)(a-2)÷（a-2)
=(a²+4)(a+2)
4.(a^2+b^2)²-4a^2b^2
=(a^2+b^2)²-(2ab)²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
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