Simplify (11x^2+2-5x)-(3+2x^2-5x)

$(11 x^{2} + 2 - 5 x) - (3 + 2 x^{2} - 5 x)$

Simplify each term.

Apply the distributive property.

$11 x^{2} + 2 - 5 x - 1 \cdot 3 - (2 x^{2}) - (- 5 x)$

Simplify.

Multiply $- 1$ by $3$ .

$11 x^{2} + 2 - 5 x - 3 - (2 x^{2}) - (- 5 x)$

Multiply $2$ by $- 1$ .

$11 x^{2} + 2 - 5 x - 3 - 2 x^{2} - (- 5 x)$

Multiply $- 5$ by $- 1$ .

$11 x^{2} + 2 - 5 x - 3 - 2 x^{2} + 5 x$

Simplify by adding terms.

Combine the opposite terms in $11 x^{2} + 2 - 5 x - 3 - 2 x^{2} + 5 x$ .

Add $- 5 x$ and $5 x$ .

$11 x^{2} + 2 - 3 - 2 x^{2} + 0$

Add $11 x^{2} + 2 - 3 - 2 x^{2}$ and $0$ .

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

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

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

Subtract $3$ from $2$ .

$9 x^{2} - 1$