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