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

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

Remove parentheses.

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

Add $2 x^{2}$ and $5 x^{2}$ .

$4 x^{4} + 3 x^{3} + 7 x^{2} - x + 1 - 2 x + 3$

Subtract $2 x$ from $- x$ .

$4 x^{4} + 3 x^{3} + 7 x^{2} - 3 x + 1 + 3$

Add $1$ and $3$ .

$4 x^{4} + 3 x^{3} + 7 x^{2} - 3 x + 4$