Question

add. ((7q^2 + 7q + 9) + (2q^2 + 4q + 9))

Explanation:

Step1: Group like terms

$(7q^2 + 2q^2) + (7q + 4q) + (9 + 9)$

Step2: Combine $q^2$ terms

$7q^2 + 2q^2 = 9q^2$

Step3: Combine $q$ terms

$7q + 4q = 11q$

Step4: Combine constant terms

$9 + 9 = 18$

Step5: Sum all combined terms

$9q^2 + 11q + 18$

Answer:

$9q^2 + 11q + 18$