Factoring 18-Sum and Difference of 2 Cubes
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Part of video series
Meets NCTM Standards:
Lesson Description:
Covers how to factor the Sum and Difference of 2 Cubes, including more complex problems.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a sum or difference of cubes?
- Can you factor a^3 + b^3?
- Why does a^3 + b^3 NOT equal (a + b)^3?
- What does (a + b)^3 equal?
- What does (a^2 - ab + b^2)(a + b) equal?
- What is the formula for factoring the sum of cubes?
- Why does a^3 + b^3 = (a + b)(a^2 - ab + b^2)?
- How would you factor x^3 + 125?
- How can you recognize the sum of cubes?
- How do you know what goes in parentheses when you factor the sum of cubes?
- What is the formula for factoring the difference of cubes?
- Why does a^3 - b^3 = (a - b)(a^2 + ab + b^2)?
- How do you factor 27y^3 - 8 using the difference of cubes formula?
- How can you factor the sum or difference of two terms?
- How do you factor 2x^7 - 2x?
- How do you know when you are done factoring a difference of cubes or difference of squares?
- How do you factor x^6 - 1 since it is a difference of two cubes and a difference of two squares?
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Staff Review
The sum and difference of cubes is explained in this lesson, and some example factoring problems are shown. A lot of formulas are shown and a lot of explanation is given for polynomials that fit this mold. -
