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4\left(8x^{2}y^{7}+x^{3}y^{2}z-2z^{4}y^{3}z^{2}\right)
Factor out 4.
y^{2}\left(8x^{2}y^{5}+x^{3}z-2yz^{6}\right)
Consider 8x^{2}y^{7}+x^{3}y^{2}z-2y^{3}z^{6}. Factor out y^{2}.
4y^{2}\left(8x^{2}y^{5}+x^{3}z-2yz^{6}\right)
Rewrite the complete factored expression.