Practice Sum And Difference Of Cubes (1.4.6) - Factorization - IB 10 Mathematics – Group 5, Algebra
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Sum and Difference of Cubes

Practice - Sum and Difference of Cubes

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Factor x³ + 8.

💡 Hint: Recognize 8 as 2³.

Question 2 Easy

Factor x³ - 27.

💡 Hint: Recognize 27 as 3³.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the factorization of a³ + b³?

(a + b)(a² - ab + b²)
(a - b)(a² + ab + b²)
(a + b)(a² + ab + b²)

💡 Hint: Remember the structure of the sum of cubes!

Question 2

True or False: a³ - b³ can be factored into (a + b)(a² + ab + b²).

True
False

💡 Hint: Think about the difference between the two cases.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Factor the expression 4x³ - 108.

💡 Hint: Recognize 27 as 3³.

Challenge 2 Hard

Factor the expression a³ - 64b³.

💡 Hint: Identify the cases of difference of cubes.

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