Simplify (4+3x^2+8x^3)+(-7x^3+12x^5+6x^2)

$(4 + 3 x^{2} + 8 x^{3}) + (- 7 x^{3} + 12 x^{5} + 6 x^{2})$

Remove parentheses.

$4 + 3 x^{2} + 8 x^{3} - 7 x^{3} + 12 x^{5} + 6 x^{2}$

Add $3 x^{2}$ and $6 x^{2}$ .

$4 + 8 x^{3} - 7 x^{3} + 12 x^{5} + 9 x^{2}$

Subtract $7 x^{3}$ from $8 x^{3}$ .

$4 + x^{3} + 12 x^{5} + 9 x^{2}$

Simplify the expression.

Move $4$ .

$x^{3} + 12 x^{5} + 9 x^{2} + 4$

Reorder $x^{3}$ and $12 x^{5}$ .

$12 x^{5} + x^{3} + 9 x^{2} + 4$