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add. your answer should be an expanded polynomial in standard form. (-2…

Question

add. your answer should be an expanded polynomial in standard form. (-2k^3 - 7k^2 + 5k) + (6k^2 + 3k) =

Explanation:

Step1: Remove parentheses

Since there is a plus sign before each parenthesis, the terms inside remain as they are. So we have $-2k^{3}-7k^{2}+5k + 6k^{2}+3k$.

Step2: Combine like - terms

Combine the $k^{2}$ terms: $-7k^{2}+6k^{2}=-k^{2}$, and combine the $k$ terms: $5k + 3k=8k$. The $-2k^{3}$ term has no like - terms. So the result is $-2k^{3}-k^{2}+8k$.

Answer:

$-2k^{3}-k^{2}+8k$