Simplify 3x^2+5+4x-2-x^2-3x+1

$3 x^{2} + 5 + 4 x - 2 - x^{2} - 3 x + 1$

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

$2 x^{2} + 5 + 4 x - 2 - 3 x + 1$

Subtract $2$ from $5$ .

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

Subtract $3 x$ from $4 x$ .

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

Add $3$ and $1$ .

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