Simplify (-6w^4+w^2)-(-2w^3+4w^2-w)

$(- 6 w^{4} + w^{2}) - (- 2 w^{3} + 4 w^{2} - w)$

Step 1

Simplify each term.

Apply the distributive property.

$- 6 w^{4} + w^{2} - (- 2 w^{3}) - (4 w^{2}) - - w$

Simplify.

Multiply $- 2$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - (4 w^{2}) - - w$

Multiply $4$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} - - w$

Multiply $- - w$ .

Multiply $- 1$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + 1 w$

Multiply $w$ by $1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + w$

Step 2

Subtract $4 w^{2}$ from $w^{2}$ .

$- 6 w^{4} + 2 w^{3} - 3 w^{2} + w$