How to simplify 200m^4 + 80m^3 + 8m^2?

Given the expression E = 200m^4 + 80m^3 +
8m^2.

We need to simplify as mush as
possible.

First we will need to factor all terms is order
to find a common factor.

Let us factor each
term.

200m^4 =
2*2*2*5*5*m*m*m*m

80m^3 =
2*2*2*2*5*m*m*m

8m^2 =
2*2*2*m*m

Now we notice that the common factor is 2*2*2*m*m
= 8m^2.

Then, we will factor 8m from all
terms.

==> E = 8m^2(25m^2 + 10m +
1)

Now we will factor between
brackets.

==> E = 8m^2 (
5m+1)^2

==> E =
8[m(5m+1)]^2