Add. (9n^2 + 3n + 1) + (5n^2 + n + 4) ______

Write Problem and Align: Write down the problem and align like terms. (9n^2 + 3n + 1) + (5n^2 + n + 4) Here, we align the n^2 terms, the n terms, and the constant terms.Remove Parentheses and Combine: Remove the parentheses and combine like terms. 9n^2 + 3n + 1 + 5n^2 + n + 4 Now, we add the coefficients of the like terms together.Add n^2 Terms: Add the n^2 terms. 9n^2 + 5n^2 = 14n^2 We have added the coefficients of the n^2 terms correctly.Add n Terms: Add the n terms. 3n + n = 4n We have added the coefficients of the n terms correctly.Add Constant Terms: Add the constant terms. 1 + 4 = 5 We have added the constants correctly.Combine Results for Final Answer: Combine the results from steps 3, 4, and 5 to get the final answer. 14n^2 + 4n + 5 This is the simplified form of the polynomial after adding the like terms.

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Q. Add.

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(9n^2 + 3n + 1) + (5n^2 + n + 4)

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______

Write Problem and Align: Write down the problem and align like terms. $\newline$ $(9n^2 + 3n + 1) + (5n^2 + n + 4)$ $\newline$ Here, we align the $n^2$ terms, the $n$ terms, and the constant terms.
Remove Parentheses and Combine: Remove the parentheses and combine like terms. $\newline$ $9n^2 + 3n + 1 + 5n^2 + n + 4$ $\newline$ Now, we add the coefficients of the like terms together.
Add $n^2$ Terms: Add the $n^2$ terms. $\newline$ $9n^2 + 5n^2 = 14n^2$ $\newline$ We have added the coefficients of the $n^2$ terms correctly.
Add $n$ Terms: Add the $n$ terms. $3n + n = 4n$ We have added the coefficients of the $n$ terms correctly.
Add Constant Terms: Add the constant terms. $\newline$ $1 + 4 = 5$ $\newline$ We have added the constants correctly.
Combine Results for Final Answer: Combine the results from steps $3$ , $4$ , and $5$ to get the final answer. $14n^2 + 4n + 5$ This is the simplified form of the polynomial after adding the like terms.