x^2*y^2-4x*y^3-4y^4-1因式分解~

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x^2*y^2-4x*y^3-4y^4-1因式分解~x^2*y^2-4x*y^3-4y^4-1因式分解~x^2*y^2-4x*y^3-4y^4-1因式分解~x^2*y^2-4x*y^3-4y^4-1=

x^2*y^2-4x*y^3-4y^4-1因式分解~
x^2*y^2-4x*y^3-4y^4-1因式分解~

x^2*y^2-4x*y^3-4y^4-1因式分解~
x^2*y^2-4x*y^3-4y^4-1
=(xy-2y)^2-1
=(xy-2y-1)(xy-2y+1)

是不是把题目搞错了?
应该是x^2*y^2-4x*y^3+4y^4-1吧?