Factor 4x^2-100

Problem

4*x^2−100

Solution

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

2. Factor out the GCF from the expression.

4*(x^2−25)

3. Recognize that the expression inside the parentheses, x^2−25 is a difference of squares in the form a^2−b^2 where a=x and b=5

4. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b)

4*(x−5)*(x+5)

Final Answer

4*x^2−100=4*(x−5)*(x+5)

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