Factor 12x^3-12x

Problem

12*x3−12*x

Solution

1. Identify the greatest common factor (GCF) of the terms 12*x3 and 12*x

2. Factor out the GCF, which is 12*x from the expression.

12*x*(x2−1)

3. Recognize that the expression inside the parentheses, x2−1 is a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=x and b=1

12*x*(x−1)*(x+1)

Final Answer

12*x3−12*x=12*x*(x−1)*(x+1)

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