(−2x^2yz^2+3x^2y)·(−5y^2z^3−4z)·(xy^2+z)

(−2x^2yz^2+3x^2y)·(−5y^2z^3−4z)·(xy^2+z)

x^2 y (-2z^2+3) (z)(-5y^2z^2-4) (xy^2+z)
x^2 y z (10 z^4y^2 -15 y^2z^2+8z^2-12)(xy^2+z)

= x^2 y z (10 z^4y^2 -15 y^2z^2+8z^2-12)(xy^2)
+ x^2 y z (10 z^4y^2 -15 y^2z^2+8z^2-12)(z)
multiply out