Answer:
\(2(x+4)(x-4)\)
Step-by-step explanation:
The given expression is \(2x^2-32\)
The GCF of the expression is 2. Hence, we can factor out 2
\(2(x^2-16)\)
Now, we can write 16 as a perfect square
\(2(x^2-4^2)\)
Apply the difference of squares formula \(a^2-b^2=(a+b)(a-b)\)
\(2(x+4)(x-4)\)
Therefore, the factored form of the given expression is \(2(x+4)(x-4)\)
