Answer
$5x^2yz^2(3z^2-4xy+5y^2)$
Work Step by Step
$5x^2yz^2$ is a common factor.
$15x^2yz^4-20x^3y^2z^2+25x^2y^3z^2=5x^2yz^2(3z^2-4xy+5y^2)$
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