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

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

Simplify each term.

Apply the distributive property.

$2 x^{2} + 3 x + 5 - x^{3} - (- 2 x^{2}) - 1 \cdot 5$

Simplify.

Multiply $- 2$ by $- 1$ .

$2 x^{2} + 3 x + 5 - x^{3} + 2 x^{2} - 1 \cdot 5$

Multiply $- 1$ by $5$ .

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

Simplify by adding terms.

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

Subtract $5$ from $5$ .

$2 x^{2} + 3 x - x^{3} + 2 x^{2} + 0$

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

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

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

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

Simplify the expression.

Move $3 x$ .

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

Reorder $4 x^{2}$ and $- x^{3}$ .

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