化简 (a-b)²(a+b)²-(a²+b²)²
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化简 (a-b)²(a+b)²-(a²+b²)²
化简 (a-b)²(a+b)²-(a²+b²)²
化简 (a-b)²(a+b)²-(a²+b²)²
解
(a-b)²(a+b)²-(a²+b²)²
=[(a-b)(a+b)]²-(a²+b²)²
=(a²-b²)²-(a²+b²)²
=[(a²-b²)+(a²+b²)][(a²-b²)-(a²+b²)]
=(2a²)(-2b²)
=-4a²b²