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问题: 因式分解:a^2 b^2 c^2 2ab 2bc 2ca

因式分解:a^2+b^2+c^2+2ab+2bc+2ca=

解答:

a^2+b^2+c^2+2ab+2bc+2ca
=(a^2+b^2+2ab)+2(a+b)c+c^2
=(a+b)^2+2(a+b)c+c^2
=(a+b+c)^2