Question

1. $(-2f^2 - 3f - 5) + (-2f^2 - 3f + 8)$

Explanation:

Step1: Remove parentheses

$(-2f^2 - 3f - 5) + (-2f^2 - 3f + 8) = -2f^2 - 3f - 5 - 2f^2 - 3f + 8$

Step2: Combine like $f^2$ terms

$-2f^2 - 2f^2 = -4f^2$

Step3: Combine like $f$ terms

$-3f - 3f = -6f$

Step4: Combine constant terms

$-5 + 8 = 3$

Step5: Combine all results

$-4f^2 - 6f + 3$

Answer:

$-4f^2 - 6f + 3$