Answer
$9m^2n^3(m^2n^2-3)$
Work Step by Step
Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$9m^4n^5=\underline3\times\underline3\times\underline m\times\underline m\times m\times m\times\underline n\times\underline n\times\underline n\times n\times n$
$27m^2n^3=\underline3\times\underline3\times3\times\underline m\times\underline m\times\underline n\times\underline n\times\underline n$
GCF$=3\times3\times m\times m\times n\times n\times n=9m^2n^3$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$9m^4n^5-27m^2n^3=9m^2n^3(m^2n^2-3)$
