Factor 2x^3-32x

Problem

2*x3−32*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 2*x from the expression.

2*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)

x2−16=(x−4)*(x+4)

4. Combine all factors to write the completely factored form of the original expression.

Final Answer

2*x3−32*x=2*x*(x−4)*(x+4)

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