xyq6564
幼苗
共回答了23个问题采纳率：87% 举报
-a^4-b^4-c^4+2a^2b^2+2b^2c^2+2c^2a^2
=-[a^4+2a²b²+b^4-2a²c²-2b²c²+c^4-4a²b²]
=-[(a²+b²)²-2c²(a²+b²)+c^4-(2ab)²]
=-[(a²+b²-c²)²-(2ab)²]
=-(a²+2ab+b²-c²)(a²-2ab+b²-c²)
=-[(a+b)²-c²][(a-b)²-c²]
=-(a+b+c)(a+b-c)(a-b+c)(a-b-c)
1年前
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