Algebra Examples

$(6 b^{3} + 6 - b^{4}) - (8 b^{3} - 6 b^{4} + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 b^{3} + 6 - b^{4} - (8 b^{3}) - (- 6 b^{4}) - 1 \cdot 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$6 b^{3} + 6 - b^{4} - 8 b^{3} - (- 6 b^{4}) - 1 \cdot 2$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$6 b^{3} + 6 - b^{4} - 8 b^{3} + 6 b^{4} - 1 \cdot 2$

Step 1.2.3

Multiply $- 1$ by $2$ .

$6 b^{3} + 6 - b^{4} - 8 b^{3} + 6 b^{4} - 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 b^{3}$ from $6 b^{3}$ .

$- 2 b^{3} + 6 - b^{4} + 6 b^{4} - 2$

Step 2.2

Subtract $2$ from $6$ .

$- 2 b^{3} - b^{4} + 6 b^{4} + 4$

Step 2.3

Add $- b^{4}$ and $6 b^{4}$ .

$- 2 b^{3} + 5 b^{4} + 4$