Factor 2x^2-72

Problem

2*x2−72

Solution

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

2*(x2−36)

2. Identify the difference of squares within the parentheses, noting that x2 and 36 are both perfect squares.

x2−6

3. Apply the difference of squares formula a2−b2=(a−b)*(a+b) where a=x and b=6

2*(x−6)*(x+6)

Final Answer

2*x2−72=2*(x−6)*(x+6)

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