Factor 4x^2-100

Problem

4*x2−100

Solution

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

2. Factor out the GCF from the expression.

4*(x2−25)

3. Recognize that the expression inside the parentheses, x2−25 is a difference of squares in the form a2−b2 where a=x and b=5

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b)

4*(x−5)*(x+5)

Final Answer

4*x2−100=4*(x−5)*(x+5)

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