Factor 3x^3-27x

Problem

3*x^3−27*x

Solution

1. Identify the greatest common factor (GCF) of the terms 3*x^3 and 27*x

2. Factor out the GCF, which is 3*x from the expression.

3*x*(x^2−9)

3. Recognize that the expression inside the parentheses, x^2−9 is a difference of squares.

4. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b) where a=x and b=3

3*x*(x−3)*(x+3)

Final Answer

3*x^3−27*x=3*x*(x−3)*(x+3)

Want more problems? Check here!