Simplify (5m^3+3mn^2)+(-7m^2n+mn^2-n^3)-(mn^2+2m^3)

$(5 m^{3} + 3 m n^{2}) + (- 7 m^{2} n + m n^{2} - n^{3}) - (m n^{2} + 2 m^{3})$

Remove parentheses.

$5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - (m n^{2} + 2 m^{3})$

Simplify each term.

Apply the distributive property.

$5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - (m n^{2}) - (2 m^{3})$

Multiply $2$ by $- 1$ .

$5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - m n^{2} - 2 m^{3}$

Simplify by adding terms.

Combine the opposite terms in $5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - m n^{2} - 2 m^{3}$ .

Subtract $m n^{2}$ from $m n^{2}$ .

$5 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3} + 0 - 2 m^{3}$

Add $5 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3}$ and $0$ .

$5 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3} - 2 m^{3}$

Subtract $2 m^{3}$ from $5 m^{3}$ .

$3 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3}$

Move $3 m n^{2}$ .

$3 m^{3} - 7 m^{2} n + 3 m n^{2} - n^{3}$