Mathematics

• Products of Sum and Difference of the Same Two Terms

  (a + b)(a - b) = a^2 - b^2
• Square of a Binomial

  (a + b)^2 = a^2 + 2ab + b^2
• Square of a Trinomial

  (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc
• Cube of a Binomial

  (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
• Perfect Square Trinomial

  (a + b)^2 = a^2 + 2ab + b^2
• Difference of Two Squares

  a^2 - b^2 = (a + b)(a - b)
• Difference of Two Cubes

  a^3 - b^3 = (a - b)(a^2 + ab + b^2)
• Sum of Two Cubes


  a^3 + b^3 = (a + b)(a^2 - ab + b^2)
• Factoring General Trinomial, where a=1

  x^2 + bx + c = (x + m)(x + n) where m and n are the factors of c whose sum is b
• Factoring General Trinomial, where a>1

  ax^2 + bx + c = a(x + m)(x + n) where m and n are the factors of ac whose sum is b