Question

What is the factored form of the expression?

Answer 1

The equation which is supposed to help you is this one:
a^2 - b^2 = (a+b) (a-b)

So, what we need to do here is apply this equation:
k^2 - 9h^2 = 
k * k - (3h)^2 =
(k + 3h) (k-3h)

The correct answer is C.

Answer 2

Answer:  The correct factored form is (C) $(k+3h)(k-3h).$

Step-by-step explanation:  We are given to write the factored form of the following expression:

$E=k^2-9h^2.$

We will be using the following algebraic formula in the factorisation:

$a^2-b^2=(a+b)(a-b).$

The factorisation is as follows:

$E\\\\=k^2-9h^2\\\\=(k)^2-(3h)^2\\\\=(k+3h)(k-3h).$

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

Thus, (C) is the correct option.