Rewrite without parentheses. \[ \left(8 y^{4} z^{5}-2 z^{6}\right)\left(-3 y^{2} z\right) \] Simplify your answer as much as possible

To rewrite and simplify the expression \( (8 y^{4} z^{5} - 2 z^{6})(-3 y^{2} z) \), we’ll distribute \(-3 y^{2} z\) across both terms inside the parentheses. First, distribute to the first term: \[ 8 y^{4} z^{5} \cdot (-3 y^{2} z) = -24 y^{6} z^{6} \] Next, distribute to the second term: \[ -2 z^{6} \cdot (-3 y^{2} z) = 6 y^{2} z^{7} \] Now, combine the two results: \[ -24 y^{6} z^{6} + 6 y^{2} z^{7} \] The simplified expression is: \[ 6 y^{2} z^{7} - 24 y^{6} z^{6} \]