Simplify (2f^4-5f^3-3f^2)-(4f^4-3f^3-f^2-4f)

$(2 f^{4} - 5 f^{3} - 3 f^{2}) - (4 f^{4} - 3 f^{3} - f^{2} - 4 f)$

Simplify each term.

Apply the distributive property.

$2 f^{4} - 5 f^{3} - 3 f^{2} - (4 f^{4}) - (- 3 f^{3}) - - f^{2} - (- 4 f)$

Simplify.

Multiply $4$ by $- 1$ .

$2 f^{4} - 5 f^{3} - 3 f^{2} - 4 f^{4} - (- 3 f^{3}) - - f^{2} - (- 4 f)$

Multiply $- 3$ by $- 1$ .

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

Multiply $- - f^{2}$ .

Multiply $- 1$ by $- 1$ .

$2 f^{4} - 5 f^{3} - 3 f^{2} - 4 f^{4} + 3 f^{3} + 1 f^{2} - (- 4 f)$

Multiply $f^{2}$ by $1$ .

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

Multiply $- 4$ by $- 1$ .

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

Simplify by adding terms.

Subtract $4 f^{4}$ from $2 f^{4}$ .

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

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

$- 2 f^{4} - 2 f^{3} - 3 f^{2} + f^{2} + 4 f$

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

$- 2 f^{4} - 2 f^{3} - 2 f^{2} + 4 f$