Factor 2x^3-50x

Problem

2*x3−50*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*(x2−25)

3. Recognize the difference of squares in the remaining binomial x2−25 which follows the pattern a2−b2=(a−b)*(a+b)

4. Factor the binomial using a=x and b=5

2*x*(x−5)*(x+5)

Final Answer

2*x3−50*x=2*x*(x−5)*(x+5)

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