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Factor 2x^2-4x

Problem

2*x2−4*x

Solution

  1. Identify the greatest common factor (GCF) of the terms 2*x2 and 4*x

  2. Find the numerical GCF by looking at the coefficients 2 and 4 which is 2

  3. Find the variable GCF by looking at x2 and x which is x

  4. Combine these to get the total GCF of 2*x

  5. Factor out the GCF from each term by dividing 2*x2 by 2*x and −4*x by 2*x

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

Final Answer

2*x2−4*x=2*x*(x−2)


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