Algebra Examples

$(- 8 a^{2} - 4 a^{3} - 2 a^{4}) - (2 a^{4} + 6 a^{3} + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 8 a^{2} - 4 a^{3} - 2 a^{4} - (2 a^{4}) - (6 a^{3}) - 1 \cdot 5$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$- 8 a^{2} - 4 a^{3} - 2 a^{4} - 2 a^{4} - (6 a^{3}) - 1 \cdot 5$

Step 1.2.2

Multiply $6$ by $- 1$ .

$- 8 a^{2} - 4 a^{3} - 2 a^{4} - 2 a^{4} - 6 a^{3} - 1 \cdot 5$

Step 1.2.3

Multiply $- 1$ by $5$ .

$- 8 a^{2} - 4 a^{3} - 2 a^{4} - 2 a^{4} - 6 a^{3} - 5$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 a^{3}$ from $- 4 a^{3}$ .

$- 8 a^{2} - 2 a^{4} - 2 a^{4} - 10 a^{3} - 5$

Step 2.2

Subtract $2 a^{4}$ from $- 2 a^{4}$ .

$- 8 a^{2} - 4 a^{4} - 10 a^{3} - 5$

Step 2.3

Move $- 8 a^{2}$ .

$- 4 a^{4} - 10 a^{3} - 8 a^{2} - 5$