Respuesta :

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 [tex]k^2-9h^2[/tex]

Write this expression in difference of squares form

[tex](k)^2-(3h)^2[/tex]

Use the difference of squares formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

Here,

a = k

b = 3h

Thus, we have

[tex](k)^2-(3h)^2=(k+3h)(k-3h)[/tex]

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