1. Factoring – Sum and Difference of Two Cubes
Factoring a
Sum of Two Cubes
Sum (addition) sign
Two Cubes

2. Difference of Two Cubes
Factoring a
Difference of Two Cubes
Difference (subtraction) sign
Two Cubes

3. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial

4. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial

5. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial

6. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial
Multiply the terms of the binomial to create the middle term of the trinomial

7. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial
Multiply the terms of the binomial to create the middle term of the trinomial

8. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial
Multiply the terms of the binomial to create the middle term of the trinomial
Signs are opposite

9. Use the following to remember the pattern for both formulas
Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated:
Write a new binomial without the exponents
Use the new binomial to create the trinomial
Square the first and last terms of the binomial to create the first and last terms of the trinomial
Multiply the terms of the binomial to create the middle term of the trinomial
Signs are opposite

10. Example 1
Factor:
Write as a sum of two cubes
Write the binomial without the cubes

11. Square the first and last terms
Multiply the terms in the binomial
Opposite signs

12. Example 2
Factor:
Write as the difference of two cubes
Write the binomial without the cubes

13. Square the first and last terms
Notice that the sign of the last term in the trinomial is always positive

14. Multiply the terms in the binomial (no sign yet)
Opposite signs

15. Hint: don’t try to factor the trinomial after factoring the sum or difference of two cubes.
If the greatest common factor has already been taken out, the resulting trinomial cannot be factored using integers.

16. Example 3
Factor:
Write as a sum of two cubes
Write the binomial without the cubes

17. Square the first and last terms
Multiply the terms in the binomial
Opposite signs

18. Example 4
Factor:
Write as a difference of two cubes
Write the binomial without the cubes

19. Square the first and last terms
Multiply the terms in the binomial
Opposite signs

20. END OF PRESENTATION