Question

(11 k ^{ 2 } -6k-7) - (-3k^2+10k-4)

Answer 1

`\[ 14k^2 - 16k - 3 \]`

Explanation:

Distribute the negative sign in front of the second parentheses:

`\[ 11k^2 - 6k - 7 + 3k^2 - 10k + 4 \]`

Combine like terms:

`\[ (11k^2 + 3k^2) + (-6k - 10k) + (-7 + 4) \]`

`\[ 14k^2 - 16k - 3 \]`

So,
`\( (11k^2 - 6k - 7) - (-3k^2 + 10k - 4) \)` simplifies to
`\( 14k^2 - 16k - 3 \)`.