Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 9$ by $- 1$ .

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

Step 1.2.2

Multiply $- 5$ by $- 1$ .

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

Step 1.2.3

Multiply $- 8$ by $- 1$ .

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

$9 b^{3} + 0$

Step 2.4

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

$9 b^{3}$