Simplify (10p^4+11)-(11p^4+13+16p^2)

$(10 p^{4} + 11) - (11 p^{4} + 13 + 16 p^{2})$

Simplify each term.

Apply the distributive property.

$10 p^{4} + 11 - (11 p^{4}) - 1 \cdot 13 - (16 p^{2})$

Simplify.

Multiply $11$ by $- 1$ .

$10 p^{4} + 11 - 11 p^{4} - 1 \cdot 13 - (16 p^{2})$

Multiply $- 1$ by $13$ .

$10 p^{4} + 11 - 11 p^{4} - 13 - (16 p^{2})$

Multiply $16$ by $- 1$ .

$10 p^{4} + 11 - 11 p^{4} - 13 - 16 p^{2}$

Simplify by adding terms.

Subtract $11 p^{4}$ from $10 p^{4}$ .

$- p^{4} + 11 - 13 - 16 p^{2}$

Simplify the expression.

Subtract $13$ from $11$ .

$- p^{4} - 2 - 16 p^{2}$

Move $- 2$ .

$- p^{4} - 16 p^{2} - 2$