Question

What is the factored form of the expression? k2 – 9h2

Answer 1

The factored form of this expression would be :

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

Answer 2

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

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)