Problem

8. Add or subtract the polynomials
\[
\begin{array}{l}
-10 k^{8}-5 k^{7}-13 k^{2}-3 k+\left(-20 k^{8}+4 k^{7}-\right. \\
\left.11 k^{2}+15 k\right)
\end{array}
\]

Answer

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Answer

\(-30k^8 - k^7 - 24k^2 + 12k\)

Steps

Step 1 :\(-10k^8 - 5k^7 - 13k^2 - 3k - 20k^8 + 4k^7 - 11k^2 + 15k\)

Step 2 :\(-10k^8 - 20k^8) + (-5k^7 + 4k^7) + (-13k^2 - 11k^2) + (-3k + 15k)\)

Step 3 :\(-30k^8 - k^7 - 24k^2 + 12k\)

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