因式分解 a²b²-a²-b²+1

因式分解 a²b²-a²-b²+1
因式分解 a²b²-a²-b²+1

因式分解 a²b²-a²-b²+1
a²b²-a²-b²+1
=（a²b²-b²）-(a²-1)
=b²(a²-1)-(a²-1)
=(a²-1)(b²-1)
=(a+1)(a-1)(b+1)(b-1)
如果本题有什么不明白可以追问,

=(a²b²-a²)-(b²-1)
=a²(b²-1)-(b²-1)
=(b²-1)(a²-1)
=(b+1)(b-1)(a+1)(a-1)

a²b²-a²-b²+1
＝a^2（b^2-1)-(b^2-1)
=(b^2-1)(a^2-1)
=(b+1)(b-1)(a+1)(a-1)