Evaluate (k^3-7k+2)-(k^2-12)

$(k^{3} - 7 k + 2) - (k^{2} - 12)$

Simplify each term.

Apply the distributive property.

$k^{3} - 7 k + 2 - k^{2} - - 12$

Multiply $- 1$ by $- 12$ .

$k^{3} - 7 k + 2 - k^{2} + 12$

Add $2$ and $12$ .

$k^{3} - 7 k - k^{2} + 14$