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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**

a^{3} + b^{3} = (a + b)(a^{2} − ab + b^{2})

**Formula to Factor the Difference of two Cubes**

a^{3} − b^{3} = (a − b)(a^{2} + ab + b^{2})

**How to factor polynomials in the form a**^{3} + b^{3} and a^{3} - b^{3}?

How to derive the formulas to factor the sum of cubes and difference of cube?

Examples:

Factor:

1. x^{3} - 27

2. 5x^{3} + 625

**Factor a Sum or Difference of Cubes**

Example:

Factor completely

1. x^{3} + 64

2. 8x^{3} - 27

**Difference of Two Cubes**

An example of how to factor using the difference of two cubes.

Example:

Factor 128w^{4} - 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. x^{3} + 125

2. 27y^{3} - 8

3. 2^{7} - 2x

**Factoring the sum and difference of two cubes**

Example:

Factor completely

1. x^{3} + 8

2. 3a^{3} - 54b^{3} = 2(a^{3} - 27b^{3})

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.

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.

a

a

How to derive the formulas to factor the sum of cubes and difference of cube?

Examples:

Factor:

1. x

2. 5x

Example:

Factor completely

1. x

2. 8x

An example of how to factor using the difference of two cubes.

Example:

Factor 128w

Covers how to factor the Sum and Difference of 2 Cubes, including more complex problems.

Example:

Factor

1. x

2. 27y

3. 2

Example:

Factor completely

1. x

2. 3a

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.

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