Explanation

The expanded form of a3 - b3 is (a - b)(a2 + ab + b2)

This is known as the difference of cubes formula, it states that if you have two cubes, (a3 and b3) you can factor them into the product of two binomials, (a - b) and (a2 + ab + b2).

You can see that this is true by multiplying out (a - b)(a2 + ab + b2) and you'll see that it becomes a3 - b3.

This is a way of factorizing a3 - b3. By using difference of cubes formula we can simplify an expression which has a3 - b3 in it. This can be useful in solving equations and simplifying more complex expressions.