Question

16r^4t-6r^3t^2+4rt^2=

Answer 1

`2rt(8r^3-3r^2t+2t)`

Explanation:

We have been given a polynomial
`16r^4t-6r^3t^2+4rt^2` and we are supposed to simplify our polynomial.

We will use factoring to simplify our polynomial. Let us factor out the greatest common factor of all the terms.

We can see that 16, 6 and 4 has 2 as their greatest common factor.

The greatest common factor of
`r^4, r^3,r` is r.

The greatest common factor of
`t, t^2, t^2` is t.

So the greatest common factor of the terms of our expression will be
`2rt`.

Let us factor out
`2rt` from our given polynomial.

`2rt(8r^3-3r^2t+2t)`

As we can not factor our expression more, therefore, we will get
`2rt(8r^3-3r^2t+2t)` after simplifying our polynomial.