Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $5$ .

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

Step 1.2.3

Multiply $5$ by $- 1$ .

$8 - 6 k^{3} + k^{2} - 2 k^{2} - 5 - 5 k^{4}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5$ from $8$ .

$- 6 k^{3} + k^{2} - 2 k^{2} + 3 - 5 k^{4}$

Step 2.2

Subtract $2 k^{2}$ from $k^{2}$ .

$- 6 k^{3} - k^{2} + 3 - 5 k^{4}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Move $3$ .

$- 6 k^{3} - k^{2} - 5 k^{4} + 3$

Step 2.3.2

Move $- k^{2}$ .

$- 6 k^{3} - 5 k^{4} - k^{2} + 3$

Step 2.3.3

Reorder $- 6 k^{3}$ and $- 5 k^{4}$ .

$- 5 k^{4} - 6 k^{3} - k^{2} + 3$