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
    • x²-4x+4
    • 16x² - 8xy + y² = (4x - y)²
    • x²+6x+9
  • ^{a2 - 2ab + b2 = (a - b)(a - b) or (a - b)2}
• Difference of two cubes
• a³ - b³
• 3 - cube root 'em
• 2 - square 'em
• 1 - multiply and change
  
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  Sum of two cubes
• • a³ + b³ 
  • • 3 - cube root 'em
    • 2 - square 'em
    • 1 - multiply and change
• Binomial expansion