Simplify (10k^4+17k^3)-(14k^3-2k+9k^4)

$(10 k^{4} + 17 k^{3}) - (14 k^{3} - 2 k + 9 k^{4})$

Simplify each term.

Apply the distributive property.

$10 k^{4} + 17 k^{3} - (14 k^{3}) - (- 2 k) - (9 k^{4})$

Simplify.

Multiply $14$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} - (- 2 k) - (9 k^{4})$

Multiply $- 2$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} + 2 k - (9 k^{4})$

Multiply $9$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} + 2 k - 9 k^{4}$

Simplify by adding terms.

Subtract $9 k^{4}$ from $10 k^{4}$ .

$k^{4} + 17 k^{3} - 14 k^{3} + 2 k$

Subtract $14 k^{3}$ from $17 k^{3}$ .

$k^{4} + 3 k^{3} + 2 k$