Add. (3n^2 + n + 5) + (8n^2 + 9n) ______

Identify Like Terms: Identify the like terms in both polynomials. The like terms are the terms that have the same variable raised to the same power. In the given polynomials, the like terms are the terms with n^2 and the terms with n.Add Coefficients of n^2: Add the coefficients of the like terms with n^2. The coefficients of n^2 are 3 from the first polynomial and 8 from the second polynomial. 3n^2 + 8n^2 = (3 + 8)n^2 = 11n^2Add Coefficients of n: Add the coefficients of the like terms with n. The coefficients of n are 1 from the first polynomial and 9 from the second polynomial. n + 9n = (1 + 9)n = 10nAdd Constant Terms: Add the constant terms. The constant terms are 5 from the first polynomial and there is no constant term in the second polynomial. 5 + 0 = 5Combine Results: Combine the results from steps 2, 3, and 4 to get the final sum. 11n^2 + 10n + 5

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Q. Add.

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(3n^2 + n + 5) + (8n^2 + 9n)

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______

Identify Like Terms: Identify the like terms in both polynomials. The like terms are the terms that have the same variable raised to the same power. In the given polynomials, the like terms are the terms with $n^2$ and the terms with $n$ .
Add Coefficients of $n^2$ : Add the coefficients of the like terms with $n^2$ . The coefficients of $n^2$ are $3$ from the first polynomial and $8$ from the second polynomial. $3n^2 + 8n^2 = (3 + 8)n^2 = 11n^2$
Add Coefficients of $n$ : Add the coefficients of the like terms with $n$ . The coefficients of $n$ are $1$ from the first polynomial and $9$ from the second polynomial. $n + 9n = (1 + 9)n = 10n$
Add Constant Terms: Add the constant terms. $\newline$ The constant terms are $5$ from the first polynomial and there is no constant term in the second polynomial. $\newline$ $5 + 0 = 5$
Combine Results: Combine the results from steps $2$ , $3$ , and $4$ to get the final sum. $11n^2 + 10n + 5$