Write in Standard Form (-5b^2-8b)-(-9b^3-5b^2-8b)

$(- 5 b^{2} - 8 b) - (- 9 b^{3} - 5 b^{2} - 8 b)$

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.

$- 5 b^{2} - 8 b - (- 9 b^{3}) - (- 5 b^{2}) - (- 8 b)$

Simplify.

Multiply $- 9$ by $- 1$ .

$- 5 b^{2} - 8 b + 9 b^{3} - (- 5 b^{2}) - (- 8 b)$

Multiply $- 5$ by $- 1$ .

$- 5 b^{2} - 8 b + 9 b^{3} + 5 b^{2} - (- 8 b)$

Multiply $- 8$ by $- 1$ .

$- 5 b^{2} - 8 b + 9 b^{3} + 5 b^{2} + 8 b$

Combine the opposite terms in $- 5 b^{2} - 8 b + 9 b^{3} + 5 b^{2} + 8 b$ .

Add $- 5 b^{2}$ and $5 b^{2}$ .

$- 8 b + 9 b^{3} + 0 + 8 b$

Add $- 8 b + 9 b^{3}$ and $0$ .

$- 8 b + 9 b^{3} + 8 b$

Add $- 8 b$ and $8 b$ .

$9 b^{3} + 0$

Add $9 b^{3}$ and $0$ .

$9 b^{3}$