Factorizations

This section covers less common but useful factorizations that appear on tests. These are particularly helpful when you are given the sum/difference of two variables and their product, and asked to find the sum/difference of their cubes.

Formulas:

• $x^3 + y^3 = [(x+y)^2 - 3xy](x+y)$
• $x^3 - y^3 = [(x-y)^2 + 3xy](x-y)$

These formulas allow for direct calculation without needing to solve for the individual values of x and y.