
分解因式:(1-a^2)(1-b^2)-(a^2-1)^2(b^2-1)^2=
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(1-a²)(1-b²)-(a²-1)²(b²-1)²
=(a²-1)(b²-1)-[(a²-1)(b²-1)]²
=(a²-1)(b²-1)[1-(a²-1)(b²-1)]
=(a²-1)(b²-1)(1-a²b²+a²+b²-1)
=(a²-1)(b²-1)(a²-a²b²+b²)
=(a+1)(a-1)(b+1)(b-1)(a²-a²b²+b²)
=(a²-1)(b²-1)-[(a²-1)(b²-1)]²
=(a²-1)(b²-1)[1-(a²-1)(b²-1)]
=(a²-1)(b²-1)(1-a²b²+a²+b²-1)
=(a²-1)(b²-1)(a²-a²b²+b²)
=(a+1)(a-1)(b+1)(b-1)(a²-a²b²+b²)
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