(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
(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
(a^4-16)÷(a-2)
=(a²+4)(a²-4)÷(a-2)
=(a²+4)(a+2)(a-2)÷(a-2)
=(a²+4)(a+2)
(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
(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
(a^4-16)÷(a-2)
=(a²+4)(a²-4)÷(a-2)
=(a²+4)(a+2)(a-2)÷(a-2)
=(a²+4)(a+2)