Factor 4x^2-64

Problem

4*x2−64

Solution

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

2. Factor out the GCF, which is 4 from the expression.

4*(x2−16)

3. Recognize that the expression inside the parentheses, x2−16 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=4

4*(x−4)*(x+4)

Final Answer

4*x2−64=4*(x−4)*(x+4)

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