Subtract (6d^3-5df-3f^3)-(6d^3+4df-3f^3)

$(6 d^{3} - 5 d f - 3 f^{3}) - (6 d^{3} + 4 d f - 3 f^{3})$

Simplify each term.

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Apply the distributive property.

$6 d^{3} - 5 d f - 3 f^{3} - (6 d^{3}) - (4 d f) - (- 3 f^{3})$

Simplify.

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Multiply $6$ by $- 1$ .

$6 d^{3} - 5 d f - 3 f^{3} - 6 d^{3} - (4 d f) - (- 3 f^{3})$

Multiply $4$ by $- 1$ .

$6 d^{3} - 5 d f - 3 f^{3} - 6 d^{3} - 4 (d f) - (- 3 f^{3})$

Multiply $- 3$ by $- 1$ .

$6 d^{3} - 5 d f - 3 f^{3} - 6 d^{3} - 4 (d f) + 3 f^{3}$

$6 d^{3} - 5 d f - 3 f^{3} - 6 d^{3} - 4 d f + 3 f^{3}$

Simplify by adding terms.

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Combine the opposite terms in $6 d^{3} - 5 d f - 3 f^{3} - 6 d^{3} - 4 d f + 3 f^{3}$ .

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Subtract $6 d^{3}$ from $6 d^{3}$ .

$- 5 d f - 3 f^{3} + 0 - 4 d f + 3 f^{3}$

Add $- 5 d f - 3 f^{3}$ and $0$ .

$- 5 d f - 3 f^{3} - 4 d f + 3 f^{3}$

Add $- 3 f^{3}$ and $3 f^{3}$ .

$- 5 d f - 4 d f + 0$

Add $- 5 d f - 4 d f$ and $0$ .

$- 5 d f - 4 d f$

Subtract $4 d f$ from $- 5 d f$ .

$- 9 d f$

Subtract (6d^3-5df-3f^3)-(6d^3+4df-3f^3)

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