Factor 9x^2-9

Problem

9*x2−9

Solution

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

2. Factor out the GCF, which is 9 from the expression.

9*(x2−1)

3. Recognize that the expression inside the parentheses, x2−1 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=1

(x−1)*(x+1)

5. Combine the GCF with the factored binomials to write the final factored form.

Final Answer

9*x2−9=9*(x−1)*(x+1)

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