Add. (5a^2 + a + 7) + (2a + 6) ______

Identify Like Terms: Identify the like terms in both polynomials. (5a^2 + a + 7) + (2a + 6) can be rewritten without the parentheses as 5a^2 + a + 7 + 2a + 6, since addition does not require changing the signs of the terms being added.Combine Like Terms: Combine the like terms. The like terms are the terms with the same variable raised to the same power. In this case, 'a' terms are like terms. So, we combine a + 2a to get 3a. The constant terms 7 and 6 are also like terms, so we combine them to get 13. The term 5a^2 does not have any like terms, so it remains as is. 5a^2 + a + 7 + 2a + 6 = 5a^2 + (a + 2a) + (7 + 6) = 5a^2 + 3a + 13Write Final Expression: Write the final simplified expression. The final simplified expression is 5a^2 + 3a + 13.

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Add. $\newline$ $(5a^2 + a + 7) + (2a + 6)$

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Algebra 1

Add and subtract polynomials

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Q. Add.

\newline

(5a^2 + a + 7) + (2a + 6)

Identify Like Terms: Identify the like terms in both polynomials. $\newline$ $(5a^2 + a + 7) + (2a + 6)$ can be rewritten without the parentheses as $5a^2 + a + 7 + 2a + 6$ , since addition does not require changing the signs of the terms being added.
Combine Like Terms: Combine the like terms. $\newline$ The like terms are the terms with the same variable raised to the same power. In this case, 'a' terms are like terms. So, we combine $a + 2a$ to get $3a$ . The constant terms $7$ and $6$ are also like terms, so we combine them to get $13$ . The term $5a^2$ does not have any like terms, so it remains as is. $\newline$ $5a^2 + a + 7 + 2a + 6 = 5a^2 + (a + 2a) + (7 + 6) = 5a^2 + 3a + 13$
Write Final Expression: Write the final simplified expression. $\newline$ The final simplified expression is $5a^2 + 3a + 13$ .