Question

How do you factor `9u^2+24uv+16v^2`?

Answer 1

`(3u+4v)^2`.

Explanation:

Let us remember the Identity `: a^2+2ab+b^2=(a+b)^2`.

Now, `9u^2+24uv+16v^2`

`=(3u)^2+2*3u*4v+(4v)^2`

`=(3u+4v)^2`.