Simplify (6c^2-10c+2c^3)-(7c+4c^2+1)

$(6 c^{2} - 10 c + 2 c^{3}) - (7 c + 4 c^{2} + 1)$

Simplify each term.

Apply the distributive property.

$6 c^{2} - 10 c + 2 c^{3} - (7 c) - (4 c^{2}) - 1 \cdot 1$

Simplify.

Multiply $7$ by $- 1$ .

$6 c^{2} - 10 c + 2 c^{3} - 7 c - (4 c^{2}) - 1 \cdot 1$

Multiply $4$ by $- 1$ .

$6 c^{2} - 10 c + 2 c^{3} - 7 c - 4 c^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$6 c^{2} - 10 c + 2 c^{3} - 7 c - 4 c^{2} - 1$

Simplify by adding terms.

Subtract $4 c^{2}$ from $6 c^{2}$ .

$2 c^{2} - 10 c + 2 c^{3} - 7 c - 1$

Subtract $7 c$ from $- 10 c$ .

$2 c^{2} + 2 c^{3} - 17 c - 1$

Reorder $2 c^{2}$ and $2 c^{3}$ .

$2 c^{3} + 2 c^{2} - 17 c - 1$