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

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

Step 1

Remove parentheses.

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

Step 2

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

Subtract $3 x^{2}$ from $3 x^{2}$ .

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

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

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

Step 3

Add $- x$ and $4 x$ .

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

Step 4

Add $2$ and $5$ .

$2 x^{3} + 3 x + 7$