Simplify (2k^3+6k+1)-(2k^2+1)

$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$

Step 1

Simplify each term.

Apply the distributive property.

$2 k^{3} + 6 k + 1 - (2 k^{2}) - 1 \cdot 1$

Multiply $2$ by $- 1$ .

$2 k^{3} + 6 k + 1 - 2 k^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$2 k^{3} + 6 k + 1 - 2 k^{2} - 1$

Step 2

Simplify by adding terms.

Combine the opposite terms in $2 k^{3} + 6 k + 1 - 2 k^{2} - 1$ .

Subtract $1$ from $1$ .

$2 k^{3} + 6 k - 2 k^{2} + 0$

Add $2 k^{3} + 6 k - 2 k^{2}$ and $0$ .

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

Move $6 k$ .

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