Basic Math Examples

$(10 b^{3} + 13 b^{2} + 10) - (6 b^{3} - 4 b^{2} - 5 b - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$10 b^{3} + 13 b^{2} + 10 - (6 b^{3}) - (- 4 b^{2}) - (- 5 b) - - 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$10 b^{3} + 13 b^{2} + 10 - 6 b^{3} - (- 4 b^{2}) - (- 5 b) - - 2$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$10 b^{3} + 13 b^{2} + 10 - 6 b^{3} + 4 b^{2} - (- 5 b) - - 2$

Step 1.2.3

Multiply $- 5$ by $- 1$ .

$10 b^{3} + 13 b^{2} + 10 - 6 b^{3} + 4 b^{2} + 5 b - - 2$

Step 1.2.4

Multiply $- 1$ by $- 2$ .

$10 b^{3} + 13 b^{2} + 10 - 6 b^{3} + 4 b^{2} + 5 b + 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 b^{3}$ from $10 b^{3}$ .

$4 b^{3} + 13 b^{2} + 10 + 4 b^{2} + 5 b + 2$

Step 2.2

Add $13 b^{2}$ and $4 b^{2}$ .

$4 b^{3} + 17 b^{2} + 10 + 5 b + 2$

Step 2.3

Add $10$ and $2$ .

$4 b^{3} + 17 b^{2} + 5 b + 12$