Simplify (9a^2-7b+3c^3-4)-(6a^2+6b-3c^3-4)

$(9 a^{2} - 7 b + 3 c^{3} - 4) - (6 a^{2} + 6 b - 3 c^{3} - 4)$

Simplify each term.

Apply the distributive property.

$9 a^{2} - 7 b + 3 c^{3} - 4 - (6 a^{2}) - (6 b) - (- 3 c^{3}) - - 4$

Simplify.

Multiply $6$ by $- 1$ .

$9 a^{2} - 7 b + 3 c^{3} - 4 - 6 a^{2} - (6 b) - (- 3 c^{3}) - - 4$

Multiply $6$ by $- 1$ .

$9 a^{2} - 7 b + 3 c^{3} - 4 - 6 a^{2} - 6 b - (- 3 c^{3}) - - 4$

Multiply $- 3$ by $- 1$ .

$9 a^{2} - 7 b + 3 c^{3} - 4 - 6 a^{2} - 6 b + 3 c^{3} - - 4$

Multiply $- 1$ by $- 4$ .

$9 a^{2} - 7 b + 3 c^{3} - 4 - 6 a^{2} - 6 b + 3 c^{3} + 4$

Simplify by adding terms.

Combine the opposite terms in $9 a^{2} - 7 b + 3 c^{3} - 4 - 6 a^{2} - 6 b + 3 c^{3} + 4$ .

Add $- 4$ and $4$ .

$9 a^{2} - 7 b + 3 c^{3} - 6 a^{2} - 6 b + 3 c^{3} + 0$

Add $9 a^{2} - 7 b + 3 c^{3} - 6 a^{2} - 6 b + 3 c^{3}$ and $0$ .

$9 a^{2} - 7 b + 3 c^{3} - 6 a^{2} - 6 b + 3 c^{3}$

Subtract $6 a^{2}$ from $9 a^{2}$ .

$3 a^{2} - 7 b + 3 c^{3} - 6 b + 3 c^{3}$

Subtract $6 b$ from $- 7 b$ .

$3 a^{2} + 3 c^{3} - 13 b + 3 c^{3}$

Add $3 c^{3}$ and $3 c^{3}$ .

$3 a^{2} + 6 c^{3} - 13 b$

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

$6 c^{3} + 3 a^{2} - 13 b$