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Verified Answer :

Answer:

Option 4th is correct

\(2 \cdot (x-4)(x+4)\)

Step-by-step explanation:

Using difference of square:

\(a^2-b^2=(a-b)(a+b)\)

GCF is the largest number that divide the given polynomial or expression.

Given the expression:

\(2x^2-32\)

We have to completely factor the expression.

GCF of \(2x^2\) and 32 is, 2

then;

\(2 \cdot (x^2-16)\)

Using difference of square

\(2 \cdot (x-4)(x+4)\)

therefore, the completely factor of \(2x^2-32\) is, \(2 \cdot (x-4)(x+4)\)

Answer:

D.  2(x + 4)(x − 4)

Step-by-step explanation: