Browsing "数学"
2012/05/15 - 数学    No Comments

因数分解公式 II (Factorization Formula)

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