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

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

Simplify each term.

Apply the distributive property.

$x^{3} - x^{2} + 4 - (3 x^{3}) - (- 2 x^{2}) - 1 \cdot 3$

Simplify.

Multiply $3$ by $- 1$ .

$x^{3} - x^{2} + 4 - 3 x^{3} - (- 2 x^{2}) - 1 \cdot 3$

Multiply $- 2$ by $- 1$ .

$x^{3} - x^{2} + 4 - 3 x^{3} + 2 x^{2} - 1 \cdot 3$

Multiply $- 1$ by $3$ .

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

Simplify by adding terms.

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

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

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

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

Subtract $3$ from $4$ .

$- 2 x^{3} + x^{2} + 1$