 # Factoring the Sum and Difference of Two Cubes

Related Topics:
More Grade 9 Math Lessons, More Algebra I Lessons
More Algebra II Lessons, Algebra Worksheets, Algebra Games

Videos, worksheets, solutions, and activities to help Grade 9, Algebra students learn how to factor the sum of two cubes and the difference of two cubes.

Formula to Factor the Sum of two Cubes
a3 + b3 = (a + b)(a2 − ab + b2)

Formula to Factor the Difference of two Cubes
a3 − b3 = (a − b)(a2 + ab + b2)

How to factor polynomials in the form a3 + b3 and a3 - b3?
How to derive the formulas to factor the sum of cubes and difference of cube?
Examples:
Factor:
1. x3 - 27
2. 5x3 + 625
Factor a Sum or Difference of Cubes
Example:
Factor completely
1. x3 + 64
2. 8x3 - 27
Difference of Two Cubes
An example of how to factor using the difference of two cubes.
Example:
Factor 128w4 - 686w
Sum and Difference of 2 Cubes
Covers how to factor the Sum and Difference of 2 Cubes, including more complex problems.
Example:
Factor
1. x3 + 125
2. 27y3 - 8
3. 27 - 2x
Factoring the sum and difference of two cubes
Example:
Factor completely
1. x3 + 8
2. 3a3 - 54b3 = 2(a3 - 27b3)

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 