Write in Standard Form (5b^3+9b+4)-(9b-4)

$(5 b^{3} + 9 b + 4) - (9 b - 4)$

Step 1

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

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

Step 2

Simplify each term.

Apply the distributive property.

$5 b^{3} + 9 b + 4 - (9 b) - - 4$

Multiply $9$ by $- 1$ .

$5 b^{3} + 9 b + 4 - 9 b - - 4$

Multiply $- 1$ by $- 4$ .

$5 b^{3} + 9 b + 4 - 9 b + 4$

Step 3

Simplify by adding terms.

Combine the opposite terms in $5 b^{3} + 9 b + 4 - 9 b + 4$ .

Subtract $9 b$ from $9 b$ .

$5 b^{3} + 0 + 4 + 4$

Add $5 b^{3}$ and $0$ .

$5 b^{3} + 4 + 4$

Add $4$ and $4$ .

$5 b^{3} + 8$