Factor 9x^2-36

Problem

9*x2−36

Solution

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

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

9*(x2−4)

3. Recognize that the expression inside the parentheses, x2−4 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=2

9*(x−2)*(x+2)

Final Answer

9*x2−36=9*(x−2)*(x+2)

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