How do you factor #200m^4 + 80m^3 + 8m^2#?

1 Answer
Mar 22, 2016

Answer:

#8m^2(5m+1)^2#

Explanation:

In order to factor #200m^4+80m^3+8m^2#

We begin be taking a common factor from each term
in this case #8m^2# will go in to each term.

#8m^2(25m^2+10m+1)#

We can now factor the trinomial using the factors of the first and third term.
#25m^2# factors to #(5m)(5m)#
#1# factors to #(1)(1)#

#8m^2(5m+1)(5m+1)#

#8m^2(5m+1)^2#