Factor 4x^2-36

Problem

4*x2−36

Solution

1. Identify the greatest common factor (GCF) for both terms, which is 4

2. Factor out the GCF from the expression.

4*(x2−9)

3. Recognize that the 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

4*(x−3)*(x+3)

Final Answer

4*x2−36=4*(x−3)*(x+3)

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