Factor 3x^3-48x

Problem

3*x3−48*x

Solution

1. Identify the greatest common factor by looking at the coefficients and the variables in both terms.

2. Factor out the GCF of 3*x from the expression.

3*x*(x2−16)

3. Recognize the difference of squares in the remaining binomial x2−16 which follows the pattern a2−b2=(a−b)*(a+b)

4. Apply the difference of squares formula where a=x and b=4

3*x*(x−4)*(x+4)

Final Answer

3*x3−48*x=3*x*(x−4)*(x+4)

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