Algebra Examples

$(6 b^{3} + 3 b c + 9 c^{3}) - (- 6 b^{3} - 9 b c - 3 c^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 b^{3} + 3 b c + 9 c^{3} - (- 6 b^{3}) - (- 9 b c) - (- 3 c^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 6$ by $- 1$ .

$6 b^{3} + 3 b c + 9 c^{3} + 6 b^{3} - (- 9 b c) - (- 3 c^{2})$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$6 b^{3} + 3 b c + 9 c^{3} + 6 b^{3} + 9 (b c) - (- 3 c^{2})$

Step 1.2.3

Multiply $- 3$ by $- 1$ .

$6 b^{3} + 3 b c + 9 c^{3} + 6 b^{3} + 9 (b c) + 3 c^{2}$

$6 b^{3} + 3 b c + 9 c^{3} + 6 b^{3} + 9 b c + 3 c^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $6 b^{3}$ and $6 b^{3}$ .

$12 b^{3} + 3 b c + 9 c^{3} + 9 b c + 3 c^{2}$

Step 2.2

Add $3 b c$ and $9 b c$ .

$12 b^{3} + 9 c^{3} + 12 b c + 3 c^{2}$