Question

Which are differences of perfect cubes? Select two options.

A. (9a^3 - 27)
B. (125a^12 - 72)
C. (216 - 27y^3)
D. (8a^15 - 27)
E. (225a^3 - 216)

Answer 1

The differences of perfect cubes formula is (a³ - b³) = (a - b)(a² + ab + b²).

Step-by-step explanation:

The differences of perfect cubes can be found by using the formula (a³ - b³) = (a - b)(a² + ab + b²). Two options that are differences of perfect cubes are:

• A. (9a³ - 27) = (3a - 3)(9a² + 3a + 1)
• E. (225a³ - 216) = (15a - 6)(15a² + 10a + 36)