Factor x^3+27

Problem

x^3+27

Solution

1. Identify the expression as a sum of two cubes, since x^3 is a cube and 27=3^3

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=3 into the formula.

4. Simplify the terms within the second factor by calculating 3^2=9 and x⋅3=3*x

Final Answer

x^3+27=(x+3)*(x^2−3*x+9)

Want more problems? Check here!