Simplify (8-6k^3+k^2)-(2k^2+5+5k^4)

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

Simplify each term.

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Apply the distributive property.

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

Simplify.

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Multiply $2$ by $- 1$ .

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

Multiply $- 1$ by $5$ .

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

Multiply $5$ by $- 1$ .

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

Simplify by adding terms.

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Subtract $5$ from $8$ .

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

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

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

Simplify the expression.

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Move $3$ .

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

Move $- k^{2}$ .

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

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

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

Simplify (8-6k^3+k^2)-(2k^2+5+5k^4)

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