Factor x^3-36x

Problem

x3−36*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*(x2−36)

3. Recognize that the remaining expression inside the parentheses, x2−36 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=6

(x−6)*(x+6)

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

Final Answer

x3−36*x=x*(x−6)*(x+6)

Want more problems? Check here!