Identifying special situations in factoring

• Difference of two squares
• a²- b² = (a + b)(a - b)
• (x + 9)(x − 9)
• (6x − 1)(6x + 1)
• (x³ − 8)(x³ + 8)
• Trinomial perfect squares
  • a² + 2ab + b²= (a + b)(a + b) or (a + b)²
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  • ^{a2 - 2ab + b2 = (a - b)(a - b) or (a - b)2}
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• Difference of two cubes
  • a³ - b³
    • 3 - cube root 'em
    • 2 - square 'em
    • 1 - multiply and change
      • 64x^-1
      • x^3-216
• Sum of two cubes
  • a³ + b³ 
    • 3 - cube root 'em
    • 2 - square 'em
    • 1 - multiply and change
      • x^3+27= (x^3)(x^2-3x+9)
      • 8x^3+27
      • x^3=25
• Binomial expansion
  • (a + b)³ = a^3+3a^2b+3ab^2+b^3
  • (a + b)⁴ =