1. Factoring
By Grouping
and Cubes

2. Factoring by grouping and cubes:
Always look for GCF
2. Factoring By Grouping for polynomials with four or more terms
3. With two terms which are perfect cubes, use SUM or DIFFERENCE of two Cubes

3. 1. Group the first two terms and the last two terms.
Factor by grouping
1. Group the first two terms and the last two terms.
2. Factor the greatest common monomial factor out of each pair.
3x²(2x – 1)
5(2x – 1)
3. Factor the common binomial factor out and write the factorization
(3x² + 5)(2x – 1)

4. Practice Grouping
x³ - 2x² - 9x + 18

5. Sum and Difference of Cubes:

6. Write each monomial as a cube and apply either of the rules.
Rewrite as cubes
Apply the rule for sum of cubes:

7. Rewrite as cubes
Apply the rule for difference of cubes:

8. Example 2: