Final answer:
The sum and difference of cubes formula in algebra is used to factorize and simplify expressions involving perfect cubes.
Step-by-step explanation:
The sum and difference of cubes formula in algebra is used to factorize and simplify expressions involving perfect cubes. The formula states that:
a³ + b³ = (a + b)(a² - ab + b²)
a³ - b³ = (a - b)(a² + ab + b²)
For example, if we have the expression 8x³ + 27, we can use the sum of cubes formula to factorize it as (2x + 3)((2x)² - 2x(3) + 3²).