Factor x^3-512

Problem

x3−512

Solution

1. Identify the expression as a difference of two cubes. The number 512 can be written as 8

2. Apply the formula for the difference of cubes, which is a3−b3=(a−b)*(a2+a*b+b2)

3. Substitute a=x and b=8 into the formula.

4. Simplify the terms within the second factor by calculating 8 and x⋅8

Final Answer

x3−512=(x−8)*(x2+8*x+64)

Want more problems? Check here!