Verified Answer :

\(Use\ a^2-b^2=(a-b)(a+b)\\\\k^2-16h^2=k^2-4^2h^2=k^2-(4h)^2=(k-4h)(k+4h)\)

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

\(k^2-16h^2\)

It can be rewritten as

\(k^2-(4h)^2\)               .... (1)

The formula for difference of squares:

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

In equation (1), a=h and b=4h. Using the above formula we get

\(k^2-(4h)^2=(k-4h)(k+4h)\)

The factor form of given expression is (k-4h)(k+4h). Therefore the correct option is 1.