Factor x^3-4x

Problem

x3−4*x

Solution

1. Identify the greatest common factor (GCF) of the terms in the expression.

2. Factor out the GCF, which is x from both terms.

x*(x2−4)

3. Recognize the expression inside the parentheses as a difference of squares, which follows the pattern a2−b2=(a−b)*(a+b)

4. Apply the formula for the difference of squares to x2−4 where a=x and b=2

x*(x−2)*(x+2)

Final Answer

x3−4*x=x*(x−2)*(x+2)

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