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

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

Step 1

Simplify each term.

Apply the distributive property.

$11 x + 2 x^{2} - (- 7 x) - (- 3 x^{2}) - 1 \cdot 4$

Simplify.

Multiply $- 7$ by $- 1$ .

$11 x + 2 x^{2} + 7 x - (- 3 x^{2}) - 1 \cdot 4$

Multiply $- 3$ by $- 1$ .

$11 x + 2 x^{2} + 7 x + 3 x^{2} - 1 \cdot 4$

Multiply $- 1$ by $4$ .

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

Step 2

Simplify by adding terms.

Add $11 x$ and $7 x$ .

$2 x^{2} + 18 x + 3 x^{2} - 4$

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

$5 x^{2} + 18 x - 4$