Factor 2x^2-2

Problem

2*x2−2

Solution

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

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

2*(x2−1)

3. Recognize the expression inside the parentheses, x2−1 as a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=x and b=1

(x−1)*(x+1)

5. Combine the GCF with the factored binomials to write the final factored form.

Final Answer

2*x2−2=2*(x−1)*(x+1)

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