Factor 4x^3-12x

Problem

4*x3−12*x

Solution

1. Identify the greatest common factor (GCF) of the numerical coefficients 4 and 12 which is 4

2. Identify the greatest common factor of the variable terms x3 and x which is x

3. Combine these to find the overall GCF of the expression, which is 4*x

4. Factor out the GCF from each term by dividing 4*x3 by 4*x to get x2 and dividing −12*x by 4*x to get −3

5. Rewrite the expression as the product of the GCF and the remaining terms inside parentheses.

Final Answer

4*x3−12*x=4*x*(x2−3)

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