You can put this solution on YOUR website! Factor
10x^2y^5z-5x^5y^2z^5-10x^4y^4z^4
Highest common factor in the coefficients is 5
Highest common factor in the x-powers is x^2
Highest common factor in the y-powers is y^2
Highest common factor in the z-powers is z
Dividing thru by 5x^2y^2z you get:
(5x^2y^2z)(2y^3-x^3z^4-2x^2y^2z)
Cheers,
Stan H.