Question

simplify the expression.\\((-11k^{2}+3k^{4}-9)+(10k^{2}+14k^{4}-13)\\)\\(-11k^{4}-21k^{2}+4\\)\\(17k^{4}-k^{2}-29\\)\\(17k^{4}-k^{2}-22\\)\\(17k^{4}-k^{2}-28\\)

Explanation:

Step1: Remove parentheses

$(-11k^2 + 3k^4 - 9) + (10k^2 + 14k^4 - 13) = -11k^2 + 3k^4 - 9 + 10k^2 + 14k^4 - 13$

Step2: Group like terms

$= (3k^4 + 14k^4) + (-11k^2 + 10k^2) + (-9 - 13)$

Step3: Combine like terms

$= 17k^4 - k^2 - 22$

Answer:

17$k^4$ $- k^2 - 22$ (matches the orange option: $17k^4 - k^2 - 22$)