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

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $- 3$ .

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

Subtract $x^{5}$ from $2 x^{5}$ .

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