Simplify (-8x^2+5x^4-7+4x^3)-(-4-2x^3+9x^4-3x^2)

$(- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3}) - (- 4 - 2 x^{3} + 9 x^{4} - 3 x^{2})$

Simplify each term.

Apply the distributive property.

$- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3} - - 4 - (- 2 x^{3}) - (9 x^{4}) - (- 3 x^{2})$

Simplify.

Multiply $- 1$ by $- 4$ .

$- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3} + 4 - (- 2 x^{3}) - (9 x^{4}) - (- 3 x^{2})$

Multiply $- 2$ by $- 1$ .

$- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3} + 4 + 2 x^{3} - (9 x^{4}) - (- 3 x^{2})$

Multiply $9$ by $- 1$ .

$- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3} + 4 + 2 x^{3} - 9 x^{4} - (- 3 x^{2})$

Multiply $- 3$ by $- 1$ .

$- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3} + 4 + 2 x^{3} - 9 x^{4} + 3 x^{2}$

Simplify by adding terms.

Add $- 8 x^{2}$ and $3 x^{2}$ .

$5 x^{4} - 7 + 4 x^{3} + 4 + 2 x^{3} - 9 x^{4} - 5 x^{2}$

Subtract $9 x^{4}$ from $5 x^{4}$ .

$- 4 x^{4} - 7 + 4 x^{3} + 4 + 2 x^{3} - 5 x^{2}$

Add $- 7$ and $4$ .

$- 4 x^{4} + 4 x^{3} - 3 + 2 x^{3} - 5 x^{2}$

Add $4 x^{3}$ and $2 x^{3}$ .

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

Move $- 3$ .

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