add. simplify your answer.\n$(z^{3}-7z^{2}+4z - 8)+(z^{2}-9z - 3)$

Explanation:

Step1: Remove parentheses

$z^{3}-7z^{2}+4z - 8+z^{2}-9z - 3$

Step2: Combine like - terms for $z^{2}$ terms

$-7z^{2}+z^{2}=-6z^{2}$

Step3: Combine like - terms for $z$ terms

$4z-9z=-5z$

Step4: Combine constant terms

$-8 - 3=-11$

Step5: Write the simplified polynomial

$z^{3}-6z^{2}-5z - 11$

Answer:

$z^{3}-6z^{2}-5z - 11$