Question

add.
(2k² + 5k + 9) + (9k + 1)

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. The expression becomes \(2k^{2}+5k + 9+9k + 1\).

Step2: Combine like terms

Next, we combine the like terms. For the \(k\) - terms: \(5k+9k = 14k\). For the constant terms: \(9 + 1=10\). The \(2k^{2}\) term remains as it is since there is no other \(k^{2}\) term to combine with. So the simplified expression is \(2k^{2}+14k + 10\).

Answer:

\(2k^{2}+14k + 10\)