Question

simplify.
$(3t^2 - 4t + 7) + (-t^2 + 5t + 2)$

Explanation:

Step1: Remove parentheses

Since there are no operations outside the parentheses that affect the signs inside (other than the addition, which doesn't change the signs), we can remove the parentheses: $3t^2 - 4t + 7 - t^2 + 5t + 2$

Step2: Combine like terms for \(t^2\) terms

Combine \(3t^2\) and \(-t^2\): \(3t^2 - t^2 = 2t^2\)

Step3: Combine like terms for \(t\) terms

Combine \(-4t\) and \(5t\): \(-4t + 5t = t\)

Step4: Combine constant terms

Combine \(7\) and \(2\): \(7 + 2 = 9\)

Step5: Write the simplified expression

Put the combined terms together: \(2t^2 + t + 9\)

Answer:

\(2t^2 + t + 9\)