Simplify x^3-8

Problem

x3−8

Solution

1. Identify the expression as a difference of two cubes, since x3 is a cube and 8=2

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=2 into the formula.

4. Simplify the terms within the second factor by calculating 2=4

Final Answer

x3−8=(x−2)*(x2+2*x+4)

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