** Math Video Game! Play Decimals in Space! Use your reflexes & mathematical knowledge to shoot the right rocks!


A+    A−    B  
Home
Algebra
Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
  • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
  • Teacher Resources
    On FaceBook!

    How to factor Difference of Cubes

    Formula for difference of cubes and their factors

    The general formula for the factors of the difference of cubes is
    a3 − b3 = (a − b)(a² + ab + b²)

    How to factor difference of cubes



    In order to understand how to factor the difference of cubes, we will follow the same approach as we did with the sum of cubes. Let's start with two factors whose product is difference of cubes. This approach of starting from the factors will help explain the formula for the difference of cubes.
    • (x – 3) (x² + 3x + 9)
      •    x3 + 3x² + 9x
      • + –3x² –9x – 27

      • x3 + 3x² – 3x² + 9x –9x – 27 (Notice the terms that cancel out)
      • x3– 27 = x3 – 33

    Top