Perform the indicated operations.
-$\left(7 \mathrm{k}^{3}+2 \mathrm{k}^{2}-\mathrm{k}+7\right)-\left(4 \mathrm{k}^{3}-2 \mathrm{k}^{2}-\mathrm{k}-1\right)+\left(3 \mathrm{k}^{3}+6 \mathrm{k}^{2}-\mathrm{k}+1\right)$

A) $6 k^{3}+10 k^{2}-k+9$
B) $14 \mathrm{k}^{3}+10 \mathrm{k}^{2}-\mathrm{k}+9$
C) $6 \mathrm{k}^{3}-10 \mathrm{k}^{2}+\mathrm{k}+8$
D) $6 k^{3}+10 k^{2}+k+9$

Question

Perform the indicated operations.
-$\left(7 \mathrm{k}^{3}+2 \mathrm{k}^{2}-\mathrm{k}+7\right)-\left(4 \mathrm{k}^{3}-2 \mathrm{k}^{2}-\mathrm{k}-1\right)+\left(3 \mathrm{k}^{3}+6 \mathrm{k}^{2}-\mathrm{k}+1\right)$

A) $6 k^{3}+10 k^{2}-k+9$
B) $14 \mathrm{k}^{3}+10 \mathrm{k}^{2}-\mathrm{k}+9$
C) $6 \mathrm{k}^{3}-10 \mathrm{k}^{2}+\mathrm{k}+8$
D) $6 k^{3}+10 k^{2}+k+9$

Quizplus · Accepted Answer

To solve, combine like terms: $7k^3 + 2k^2 - k + 7 - (4k^3 - 2k^2 - k - 1) + (3k^3 + 6k^2 - k + 1)$. Simplify to get $6k^3 + 10k^2 - k + 9$.

Perform the Indicated Operations A) 6k3+10k2−k+96 k^{3}+10 k^{2}-k+96k3+10k2−k+9 B) 14k3+10k2−k+914 \mathrm{k}^{3}+10 \mathrm{k}^{2}-\mathrm{k}+914k3+10k2−k+9

Perform the Indicated Operations A) $6 k^{3}+10 k^{2}-k+9$ B) $14 \mathrm{k}^{3}+10 \mathrm{k}^{2}-\mathrm{k}+9$