Factor 12x^2-24x

Problem

12*x^2−24*x

Solution

1. Identify the greatest common factor (GCF) of the coefficients 12 and 24 which is 12

2. Identify the greatest common factor of the variables x^2 and x which is x

3. Combine these to find the overall GCF of the expression, which is 12*x

4. Factor out the GCF from each term by dividing 12*x^2 by 12*x to get x and dividing −24*x by 12*x to get −2

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

Final Answer

12*x^2−24*x=12*x*(x−2)

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