因式分解.(a²-1)(b²-1)+4ab
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因式分解.(a²-1)(b²-1)+4ab
因式分解.(a²-1)(b²-1)+4ab
因式分解.(a²-1)(b²-1)+4ab
=a²b²-a²-b²+1+4ab
(a²-1)(b²-1)+4ab=a²b²-a²-b²+1+4ab
=-[(a-b)²-2ab]+(a²b²+1)
=-(a-b)²+(ab+1)²
=(ab+1)²-(a-b)²
=(ab+a-b+1)(ab-a+b+1)