Factoring the Sum or Difference of Cubes - Concept

Concept Concept (1)

When factoring trinomials, we can learn certain patterns of factoring the sum or difference of cubes. When factoring sum of cubes expressions, we will always end up with the binomial (a + b) multiplied by the trinomial (a^2 - ab + b^2). When factoring the difference of cubes, we will always end up with the binomial (a - b) multiplied by the trinomial (a^2 + ab + b^2).

Sample Sample Problems (3)

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Factoring the Sum or Difference of Cubes - Problem 1

Factor:

x³ − 8
Problem 1
How to factor the difference of cubes.
Factoring the Sum or Difference of Cubes - Problem 2

Factor:

27x³ + y⁶
Problem 2
How to factor the sum of cubes by substitution.
Factoring the Sum or Difference of Cubes - Problem 3

Factor:

x⁹ − (5 − y)³
Problem 3
How to factor the difference of cubes by substitution.