Sum of Cubes:
a³ + b³ = (a + b)(a² - ab + b²)
Example: x³ + 8 → a=x, b=2
= (x + 2)(x² - 2x + 4)
Difference of Cubes:
a³ - b³ = (a - b)(a² + ab + b²)
Example: x³ - 27 → a=x, b=3
= (x - 3)(x² + 3x + 9)
Difference of Squares:
a² - b² = (a - b)(a + b)
Example: x² - 16 → a=x, b=4
= (x - 4)(x + 4)