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- Factorising Quadratic Functions
Factoring sum of cubes
- Intro Lesson8:33
- Lesson: 1a2:29
- Lesson: 1b2:49
- Lesson: 2a3:34
- Lesson: 2b3:50
- Lesson: 3a3:33
- Lesson: 3b2:19
- Lesson: 4a3:45
- Lesson: 4b3:26
- Lesson: 4c5:26
- Lesson: 52:00
Factoring sum of cubes
Lessons
∙ 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)?
- IntroductionIntroduction to factoring sum of cubes
i. What is sum of cubes?
ii. How can sum of cubes be factored?
- 1.Factoring Using the Sum of Cubes Formula
Factor the following expressions:
a)x3+125b)x3+278 - 2.Factoring Using the Sum of Cubes Formula - Extended
Factor the following expressions:
a)64x3+1b)125x6+8 - 3.Factoring Binomials with 2 variables
Factor the following expressions:
a)8x6+27y9b)x12y6+64 - 4.First Factor the Greatest Common Factor, Then Apply the Sum of Cubes Formula
Factor the following expressions:
a)−x3−8b)54x3+128c)81x10y+24xy7 - 5.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?