how do u factor out X^3-27?

Question

3 is the exponent

Answer 1

Use this:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)

You get:
x^3 - 27 = (x - 3)(x^2 + 3x + 9)

Answer 2

The easiest way to visualize this problem is to ask yourself the question...

which number, when raised to the 3rd power is equal to 27? Assuming the equation is of the form,

x^3 - 27 = 0

the number is 3.

3x3x3 = 27

You need to memorize this identity for future reference. Good luck.

Answer 3

(x-3)(x^2 + 3x +9)