Simplify (-12+8b^4+b)-(8b^4-1+9b^3)

$(- 12 + 8 b^{4} + b) - (8 b^{4} - 1 + 9 b^{3})$

Step 1

Simplify each term.

Apply the distributive property.

$- 12 + 8 b^{4} + b - (8 b^{4}) - - 1 - (9 b^{3})$

Simplify.

Multiply $8$ by $- 1$ .

$- 12 + 8 b^{4} + b - 8 b^{4} - - 1 - (9 b^{3})$

Multiply $- 1$ by $- 1$ .

$- 12 + 8 b^{4} + b - 8 b^{4} + 1 - (9 b^{3})$

Multiply $9$ by $- 1$ .

$- 12 + 8 b^{4} + b - 8 b^{4} + 1 - 9 b^{3}$

Step 2

Simplify by adding terms.

Combine the opposite terms in $- 12 + 8 b^{4} + b - 8 b^{4} + 1 - 9 b^{3}$ .

Subtract $8 b^{4}$ from $8 b^{4}$ .

$- 12 + b + 0 + 1 - 9 b^{3}$

Add $- 12 + b$ and $0$ .

$- 12 + b + 1 - 9 b^{3}$

Simplify the expression.

Add $- 12$ and $1$ .

$b - 11 - 9 b^{3}$

Move $- 11$ .

$b - 9 b^{3} - 11$

Reorder $b$ and $- 9 b^{3}$ .

$- 9 b^{3} + b - 11$