Simplify (11p-4q^2-q)-(q^2-4p+7p^2)

$(11 p - 4 q^{2} - q) - (q^{2} - 4 p + 7 p^{2})$

Simplify each term.

Apply the distributive property.

$11 p - 4 q^{2} - q - q^{2} - (- 4 p) - (7 p^{2})$

Simplify.

Multiply $- 4$ by $- 1$ .

$11 p - 4 q^{2} - q - q^{2} + 4 p - (7 p^{2})$

Multiply $7$ by $- 1$ .

$11 p - 4 q^{2} - q - q^{2} + 4 p - 7 p^{2}$

Simplify by adding terms.

Add $11 p$ and $4 p$ .

$- 4 q^{2} - q - q^{2} + 15 p - 7 p^{2}$

Subtract $q^{2}$ from $- 4 q^{2}$ .

$- 5 q^{2} - q + 15 p - 7 p^{2}$

Simplify the expression.

Move $- q$ .

$- 5 q^{2} + 15 p - 7 p^{2} - q$

Move $15 p$ .

$- 5 q^{2} - 7 p^{2} + 15 p - q$

Reorder $- 5 q^{2}$ and $- 7 p^{2}$ .

$- 7 p^{2} - 5 q^{2} + 15 p - q$