Simplify (4x^5-3x^3-4)-(7x^5-4x^4-2x^3-4)

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

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $7$ by $- 1$ .

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

Multiply $- 4$ by $- 1$ .

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

Multiply $- 2$ by $- 1$ .

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

Multiply $- 1$ by $- 4$ .

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

Simplify by adding terms.

Combine the opposite terms in $4 x^{5} - 3 x^{3} - 4 - 7 x^{5} + 4 x^{4} + 2 x^{3} + 4$ .

Add $- 4$ and $4$ .

$4 x^{5} - 3 x^{3} - 7 x^{5} + 4 x^{4} + 2 x^{3} + 0$

Add $4 x^{5} - 3 x^{3} - 7 x^{5} + 4 x^{4} + 2 x^{3}$ and $0$ .

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

Subtract $7 x^{5}$ from $4 x^{5}$ .

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

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

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