Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 1$ .

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

Step 1.2.3

Multiply $9$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 12$ and $1$ .

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

Step 2.2.2

Move $- 11$ .

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

Step 2.2.3

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

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