Simplify (2a^2+3a-4)-(5a-9-4a^2)-a^3

$(2 a^{2} + 3 a - 4) - (5 a - 9 - 4 a^{2}) - a^{3}$

Simplify each term.

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Apply the distributive property.

$2 a^{2} + 3 a - 4 - (5 a) - - 9 - (- 4 a^{2}) - a^{3}$

Simplify.

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Multiply $5$ by $- 1$ .

$2 a^{2} + 3 a - 4 - 5 a - - 9 - (- 4 a^{2}) - a^{3}$

Multiply $- 1$ by $- 9$ .

$2 a^{2} + 3 a - 4 - 5 a + 9 - (- 4 a^{2}) - a^{3}$

Multiply $- 4$ by $- 1$ .

$2 a^{2} + 3 a - 4 - 5 a + 9 + 4 a^{2} - a^{3}$

Simplify by adding terms.

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Add $2 a^{2}$ and $4 a^{2}$ .

$6 a^{2} + 3 a - 4 - 5 a + 9 - a^{3}$

Subtract $5 a$ from $3 a$ .

$6 a^{2} - 2 a - 4 + 9 - a^{3}$

Simplify the expression.

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Add $- 4$ and $9$ .

$6 a^{2} - 2 a + 5 - a^{3}$

Move $5$ .

$6 a^{2} - 2 a - a^{3} + 5$

Move $- 2 a$ .

$6 a^{2} - a^{3} - 2 a + 5$

Reorder $6 a^{2}$ and $- a^{3}$ .

$- a^{3} + 6 a^{2} - 2 a + 5$

Simplify (2a^2+3a-4)-(5a-9-4a^2)-a^3