Factor 4x^2-16

Problem

4*x2−16

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*(x2−4)

3. Recognize that the expression inside the parentheses, x2−4 is a difference of squares following the pattern a2−b2=(a−b)*(a+b)

4. Apply the formula for the difference of squares where a=x and b=2

4*(x−2)*(x+2)

Final Answer

4*x2−16=4*(x−2)*(x+2)

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