Factor 2x^2-98

Problem

2*x2−98

Solution

1. Factor out the greatest common factor by identifying that both terms are divisible by 2

2*(x2−49)

2. Identify the difference of squares within the parentheses, noting that x2 is a perfect square and 49 is 7

x2−7

3. Apply the difference of squares formula, which states that a2−b2=(a−b)*(a+b)

(x−7)*(x+7)

4. Combine the factors to write the completely factored expression.

2*(x−7)*(x+7)

Final Answer

2*x2−98=2*(x−7)*(x+7)

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