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- AU Year 10 Maths
- Factorising Polynomial (Advanced)
Factoring difference of cubes
- Intro Lesson9:45
- Lesson: 1a3:34
- Lesson: 1b3:00
- Lesson: 2a3:52
- Lesson: 2b2:16
- Lesson: 3a3:08
- Lesson: 3b4:02
- Lesson: 4a3:55
- Lesson: 4b2:44
- Lesson: 4c2:50
Factoring difference of cubes
Basic Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2
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 difference of cubes
i. What is difference of cubes?
ii. How can difference of cubes be factored?
- 1.Factoring Using the Difference of Cubes Formula
Factor the following expressions:
a)x3−8b)x3−271 - 2.Factoring Using the Difference of Cubes Formula - Extended
Factor the following expressions:
a)27y3−1b)8x3−27 - 3.Factoring Binomials with 2 variables
Factor the following expressions:
a)27x3−64y3b)x3y6−125 - 4.First Factor the Greatest Common Factor, Then Apply the Difference of Cubes Formula
Factor the following expressions:
a)16x3−54b)−8x3+1c)81x4−3xy3