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

User Farmer
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1 Answer

4 votes

Answer:


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.

User Tempestas Ludi
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