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Verified Answer :

The factored form of this expression would be :

(k-3h)(k+3h).

Answer:

The factored form is(k+3h)(k-3h)

Step-by-step explanation:

The given expression is \(k^2-9h^2\)

Write this expression in difference of squares form

\((k)^2-(3h)^2\)

Use the difference of squares formula: \(a^2-b^2=(a+b)(a-b)\)

Here,

a = k

b = 3h

Thus, we have

\((k)^2-(3h)^2=(k+3h)(k-3h)\)

Therefore, the factored form is(k+3h)(k-3h)