Question

1. (-4k^4 + 14 + 3k^2)+(-3k^4 - 14k^2 - 8)

Explanation:

Step1: Remove parentheses

\[(-4k^{4}+14 + 3k^{2})+(-3k^{4}-14k^{2}-8)=-4k^{4}+14 + 3k^{2}-3k^{4}-14k^{2}-8\]

Step2: Combine like - terms for \(k^{4}\) terms

\[-4k^{4}-3k^{4}=(-4 - 3)k^{4}=-7k^{4}\]

Step3: Combine like - terms for \(k^{2}\) terms

\[3k^{2}-14k^{2}=(3 - 14)k^{2}=-11k^{2}\]

Step4: Combine constant terms

\[14-8 = 6\]

Step5: Write the final polynomial

\[-7k^{4}-11k^{2}+6\]

Answer:

\(-7k^{4}-11k^{2}+6\)