1 a^3+b^3+c^3-3abc =(a+b+c)(a^2+b^2+c^2-ab-bc-ac)
a^3+b^3+c^3-3abc =(a+b)(a^2-ab+b^2)+c^3-3abc
=(a+b+c)(a^2-ab+b^2)-a^2c-b^2c+abc+c^3-3abc
=(a+b+c)(a^2-ab+b^2)+c(c^2-a^2-b^2-2ab)
=(a+b+c)(a^2-ab+b^2)+c(c+a+b)(c-a-b)
=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)
2 x^4+x^2y^2+y^4=(x^2+xy+y^2)(x^2-xy+y^2)
x^4+x^2y^2+y^4
=x^4+2*x^2y^2+y^4-x^2y^2
=(x^2+y^2)^2-(xy)^2
=(x^2+xy+y^2)(x^2-xy+y^2)
1 a^3+b^3+c^3+3abc
1 a^3+b^3+c^3+3abc
2 x^2+x^2y^2+y^2
2 x^2+x^2y^2+y^2
數(shù)學(xué)人氣：952 ℃時(shí)間：2020-07-01 01:29:55
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