b²-a²+2a-1=因式分解得多少?

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b²-a²+2a-1=因式分解得多少?

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

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

原式=b²-(a-1)²=(b+a-1)(b-a+1)

b^2-a^2+2a-1=b^2-(a-1)^2=(b-a+1)(b+a-1)