Question

11. factor the expression. k2 – 16h2 (k 4h)(k – 4h) (k – 4h2)(k 4) h2(k 4)(k – 4) (k 4h)(k 4h)

Answer 1

`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 2

The correct option is 1.

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.