Simplify (8x^3-6x^4+3)-(3x^3-3+8x^4)

$(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})$

Simplify each term.

Apply the distributive property.

$8 x^{3} - 6 x^{4} + 3 - (3 x^{3}) - - 3 - (8 x^{4})$

Simplify.

Multiply $3$ by $- 1$ .

$8 x^{3} - 6 x^{4} + 3 - 3 x^{3} - - 3 - (8 x^{4})$

Multiply $- 1$ by $- 3$ .

$8 x^{3} - 6 x^{4} + 3 - 3 x^{3} + 3 - (8 x^{4})$

Multiply $8$ by $- 1$ .

$8 x^{3} - 6 x^{4} + 3 - 3 x^{3} + 3 - 8 x^{4}$

Simplify by adding terms.

Subtract $3 x^{3}$ from $8 x^{3}$ .

$5 x^{3} - 6 x^{4} + 3 + 3 - 8 x^{4}$

Subtract $8 x^{4}$ from $- 6 x^{4}$ .

$5 x^{3} - 14 x^{4} + 3 + 3$

Simplify the expression.

Add $3$ and $3$ .

$5 x^{3} - 14 x^{4} + 6$

Reorder $5 x^{3}$ and $- 14 x^{4}$ .

$- 14 x^{4} + 5 x^{3} + 6$