Question

simplify.
$(t^2 + 6t + 2) + (3t^2 + 5t + 7)$

Explanation:

Step1: Remove parentheses

$t^2 + 6t + 2 + 3t^2 + 5t + 7$

Step2: Combine like $t^2$ terms

$t^2 + 3t^2 + 6t + 5t + 2 + 7 = 4t^2 + 6t + 5t + 2 + 7$

Step3: Combine like $t$ terms

$4t^2 + (6t + 5t) + 2 + 7 = 4t^2 + 11t + 2 + 7$

Step4: Combine constant terms

$4t^2 + 11t + (2 + 7) = 4t^2 + 11t + 9$

Answer:

$4t^2 + 11t + 9$