Answer
$5x^2y^4z^2(5xy^2- 3x^2z^2+ 5yz)$.
Work Step by Step
The given expression is
$=25x^3y^6z^2-15x^4y^4z^4+25x^2y^5z^3$
The GCF of the given expression is $5x^2y^4z^2$.
Factor the GCF.
$=5x^2y^4z^2\cdot 5xy^2-5x^2y^4z^2\cdot 3x^2z^2+5x^2y^4z^2\cdot 5yz$
Factor out the GCF from each term.
$=5x^2y^4z^2(5xy^2- 3x^2z^2+ 5yz)$.