Factoring sum of cubes
Intros
Lessons
Examples
Lessons
- Factoring Using the Sum of Cubes Formula
Factor the following expressions:
- Factoring Using the Sum of Cubes Formula - Extended
Factor the following expressions:
- Factoring Binomials with 2 variables
Factor the following expressions:
- First Factor the Greatest Common Factor, Then Apply the Sum of Cubes Formula
Factor the following expressions:
- Making a Conclusion on Factoring Binomials
Overview – Factoring Binomials
i. How to identify which formulas to use?
ii. What are the aspects we need to consider before factoring?
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Topic Notes
∙ Sum of cubes: a3+b3=(a+b)(a2−ab+b2)
∙ Difference of cubes: a3−b3=(a−b)(a2+ab+b2)
∙ SOAP: a3±b3=(a[samesign]b)(a2[oppositesign]ab[alwayspositive]b2)
∙Things to consider before using the difference of cubes formula:
1. Is there a 'difference' sign? Are there two cubed terms?
2. Are the terms in order? (i.e. in descending order of degrees)
3. Is the first term positive?
4. Is there a Greatest Common Factor (GCF)?
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