Factor the polynomial \(x^3 - 8\)

Step 1 ：Recognize the given expression as a difference of cubes, \(x^3 - 2^3\)

Step 2 ：Apply the formula for factoring a difference of cubes, \(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\), with \(a = x\) and \(b = 2\)

Step 3 ：Substitute the values of \(a\) and \(b\) into the formula: \(x^3 - 8 = (x - 2)(x^2 + 2x + 4)\)