Factoring

• Factoring out common factors

• Factoring by grouping

Factoring using formulas

• Factoring the difference of two squares  
  a² - b² = (a + b)(a - b)

• Factoring perfect square trinomials 
  a² + 2ab + b² = (a + b)²
  a² - 2ab + b² = (a - b)²
   
• Factoring the difference of two cubes  
  a³ - b³ = (a - b)(a² + ab + b²)
   
• Factoring the sum of two cubes  
  a³ + b³ = (a + b)(a² - ab + b²)
   
• Factoring perfect cube polynomials  
  a³ + 3a²b + 3ab² + b³ = (a + b)³
  a³ - 3a²b + 3ab² - b³ = (a - b)³
   

Factoring quadratics

• Factoring simple quadratic of the form:  x² + bx + c
   
• Factoring general quadratic of the form: ax² + bx + c