2012/05/15 - 数学    No Comments

多項式の乗法公式Ⅱ（展開公式Ⅱ）

  1. \( (a+b+c)^2_=a^{2}+b^{2}+c^{2}+2bc+2ca+2ab \)
  2. \( (x+a)(x+b)(x+c)=x^{3}+(a+b+c)x^{2}+(bc+ca+ab)x+abc \)
  3. \( (a\pm b)(a^{2}\mp ab+b^{2})=a^{3}\pm b^{3} \) (複号同順)
  4. \( (a^{2}+ab+b^{2})(a^{2}-ab+b^{2})=a^{4}+a^{2}b^{2}+b^{4} \)
  5. \( (a+b+c)(a^{2}+b^{2}+c^{2}-bc-ca-ab)=a^{3}+b^{3}+c^{3}-3abc \)

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