Identify like terms: Identify the like terms in both polynomials.(7k2+8)+(9k+2) can be rewritten without changing the order since addition is commutative.
Combine like terms: Combine the like terms.Since there are no other k2 terms, 7k2 remains unchanged. The constant terms 8 and 2 can be added together.7k2+(8+2)+9k
Add constant terms: Perform the addition of the constant terms. 8+2 equals 10. 7k2+10+9k
Rearrange in descending order: Rearrange the terms in descending order of the powers of k.7k2+9k+10
Check for simplification: Check for any possible simplification or combination of like terms. There are no further like terms to combine, so the expression is fully simplified.