Factor 3x^2-12

Problem

3*x^2−12

Solution

1. Identify the greatest common factor (GCF) of the terms 3*x^2 and 12

2. Factor out the GCF, which is 3 from the expression.

3*(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

3*(x−2)*(x+2)

Final Answer

3*x^2−12=3*(x−2)*(x+2)

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