Factor 5x^2-20

Problem

5*x^2−20

Solution

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

2. Factor out the GCF, which is 5 from the expression.

5*(x^2−4)

3. Recognize that the expression inside the parentheses, x^2−4 is a difference of squares.

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

5*(x−2)*(x+2)

Final Answer

5*x^2−20=5*(x−2)*(x+2)

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