Factor x^3-9x

Problem

x3−9*x

Solution

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

2. Factor out the GCF, which is x from the expression.

x*(x2−9)

3. Recognize that the remaining expression inside the parentheses, x2−9 is a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=x and b=3

(x−3)*(x+3)

5. Combine all factors to write the final factored form.

Final Answer

x3−9*x=x*(x−3)*(x+3)

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