Simplify (8k+k^2-6)-(-10k+7-2k^2)

$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$

Simplify each term.

Apply the distributive property.

$8 k + k^{2} - 6 - (- 10 k) - 1 \cdot 7 - (- 2 k^{2})$

Simplify.

Multiply $- 10$ by $- 1$ .

$8 k + k^{2} - 6 + 10 k - 1 \cdot 7 - (- 2 k^{2})$

Multiply $- 1$ by $7$ .

$8 k + k^{2} - 6 + 10 k - 7 - (- 2 k^{2})$

Multiply $- 2$ by $- 1$ .

$8 k + k^{2} - 6 + 10 k - 7 + 2 k^{2}$

Simplify by adding terms.

Add $8 k$ and $10 k$ .

$18 k + k^{2} - 6 - 7 + 2 k^{2}$

Add $k^{2}$ and $2 k^{2}$ .

$18 k + 3 k^{2} - 6 - 7$

Simplify the expression.

Subtract $7$ from $- 6$ .

$18 k + 3 k^{2} - 13$

Reorder $18 k$ and $3 k^{2}$ .

$3 k^{2} + 18 k - 13$