Factor x^3+8

Problem

x^3+8

Solution

1. Identify the expression as a sum of two cubes, since x^3 is a cube and 8 can be written as 2^3

2. Apply the formula for the sum of cubes, which is a^3+b^3=(a+b)*(a^2−a*b+b^2)

3. Substitute a=x and b=2 into the formula.

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

Final Answer

x^3+8=(x+2)*(x^2−2*x+4)

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