Code:
$ a^{4}-2a^{2}(b^{2}+c^{2})+b^{4}-2b^{2}c^{2}+c^{4}=a^{4}-2a^{2}(b^{2}+c^{2})+(b^{2}-c^{2})^{2}=a^{4}-2a^{2}(b^{2}+c^{2})+(b+c)^{2}(b-c)^{2}=(a^{2}-(b+c)^{2})(a^{2}-(b-c)^{2}) =(a+b+c)(a-b-c)(a+b-c)(a-b+c) $
Code:
$ a^{4}-2a^{2}(b^{2}+c^{2})+b^{4}-2b^{2}c^{2}+c^{4}=a^{4}-2a^{2}(b^{2}+c^{2})+(b^{2}-c^{2})^{2}=a^{4}-2a^{2}(b^{2}+c^{2})+(b+c)^{2}(b-c)^{2}=(a^{2}-(b+c)^{2})(a^{2}-(b-c)^{2}) =(a+b+c)(a-b-c)(a+b-c)(a-b+c) $
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