Basic Math Examples

$(6 b^{3} + 12 b^{2} - b) - (15 b^{2} - 7 b - 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 b^{3} + 12 b^{2} - b - (15 b^{2}) - (- 7 b) - - 8$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $15$ by $- 1$ .

$6 b^{3} + 12 b^{2} - b - 15 b^{2} - (- 7 b) - - 8$

Step 1.2.2

Multiply $- 7$ by $- 1$ .

$6 b^{3} + 12 b^{2} - b - 15 b^{2} + 7 b - - 8$

Step 1.2.3

Multiply $- 1$ by $- 8$ .

$6 b^{3} + 12 b^{2} - b - 15 b^{2} + 7 b + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $15 b^{2}$ from $12 b^{2}$ .

$6 b^{3} - 3 b^{2} - b + 7 b + 8$

Step 2.2

Add $- b$ and $7 b$ .

$6 b^{3} - 3 b^{2} + 6 b + 8$