Write in Standard Form (-w^3+8w^2-3w)-(4w^2+5w-7)

$(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Simplify each term.

Apply the distributive property.

$- w^{3} + 8 w^{2} - 3 w - (4 w^{2}) - (5 w) - - 7$

Simplify.

Multiply $4$ by $- 1$ .

$- w^{3} + 8 w^{2} - 3 w - 4 w^{2} - (5 w) - - 7$

Multiply $5$ by $- 1$ .

$- w^{3} + 8 w^{2} - 3 w - 4 w^{2} - 5 w - - 7$

Multiply $- 1$ by $- 7$ .

$- w^{3} + 8 w^{2} - 3 w - 4 w^{2} - 5 w + 7$

Simplify by adding terms.

Subtract $4 w^{2}$ from $8 w^{2}$ .

$- w^{3} + 4 w^{2} - 3 w - 5 w + 7$

Subtract $5 w$ from $- 3 w$ .

$- w^{3} + 4 w^{2} - 8 w + 7$