Factor x^3+8

Problem

x3+8

Solution

1. Identify the expression as a sum of two cubes, since x3 is a cube and 8 can be written as 2

2. Apply the formula for the sum 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

Final Answer

x3+8=(x+2)*(x2−2*x+4)

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