Simplify (4x^2-3x+9)+(7x^2-11)+(-x^2+7x-2)

$(4 x^{2} - 3 x + 9) + (7 x^{2} - 11) + (- x^{2} + 7 x - 2)$

Remove parentheses.

$4 x^{2} - 3 x + 9 + 7 x^{2} - 11 - x^{2} + 7 x - 2$

Add $4 x^{2}$ and $7 x^{2}$ .

$11 x^{2} - 3 x + 9 - 11 - x^{2} + 7 x - 2$

Subtract $x^{2}$ from $11 x^{2}$ .

$10 x^{2} - 3 x + 9 - 11 + 7 x - 2$

Add $- 3 x$ and $7 x$ .

$10 x^{2} + 4 x + 9 - 11 - 2$

Simplify by subtracting numbers.

Subtract $11$ from $9$ .

$10 x^{2} + 4 x - 2 - 2$

Subtract $2$ from $- 2$ .

$10 x^{2} + 4 x - 4$