factor x3729SolutionThis is called a difference of cubes sin

factor
x^3-729

Solution

This is called a difference of cubes since 729 is 9³. There is a factoring formula for a difference of cubes, which is:

a³-b³ = (a-b)(a² +ab + b²)
So here we have (x-9)(x² + 9x + 81) <---that trinomial is always prime, so don\'t bother trying to factor it.