Factor 2x^2-32

Problem

2*x2−32

Solution

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

2*(x2−16)

2. Identify the difference of squares within the parentheses, noting that x2 and 16 are both perfect squares.

x2−4

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

2*(x−4)*(x+4)

Final Answer

2*x2−32=2*(x−4)*(x+4)

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