The sum of cubes is given as: a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have: (4x)³ + (y)³ ⇒ 64 is 4³ Use the factorization of the sum of cubes, we have: (4x + y) ( (4x)²- 4xy + y²) (4x + y) (16x² - 4xy + y²)