Answer:
2(x^2-16y^2)
Step-by-step explanation:
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2(x -4y)(x +4y)
Once you factor out the common factor of 2, what remains is the difference of squares. That can be factored further.
The factoring of the difference of squares is ...
a² -b² = (a -b)(a +b)
Then we have ...
2x² -32y² = 2(x² -16y²) = 2(x² -(4y)²)
= 2(x -4y)(x +4y)
