Factor 7x^2-28

Problem

7*x^2−28

Solution

1. Identify the greatest common factor (GCF) of the terms 7*x^2 and 28

2. Factor out the GCF, which is 7 from the expression.

7*(x^2−4)

3. Recognize the expression inside the parentheses, x^2−4 as 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

7*(x−2)*(x+2)

Final Answer

7*x^2−28=7*(x−2)*(x+2)

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