First, distribute the negative sign inside the parentheses on the right side of the equation:
(2mn^2 + 4m^2) - (-mn^2 - 4m^2n - 4m^2)
Now, simplify by removing the parentheses and combining like terms:
2mn^2 + 4m^2 + mn^2 + 4m^2n + 4m^2
Combine like terms:
2mn^2 + mn^2 + 4m^2n + 4m^2 + 4m^2
3mn^2 + 4m^2n + 8m^2
Therefore, the simplified expression is 3mn^2 + 4m^2n + 8m^2.
First, distribute the negative sign inside the parentheses on the right side of the equation:
(2mn^2 + 4m^2) - (-mn^2 - 4m^2n - 4m^2)
Now, simplify by removing the parentheses and combining like terms:
2mn^2 + 4m^2 + mn^2 + 4m^2n + 4m^2
Combine like terms:
2mn^2 + mn^2 + 4m^2n + 4m^2 + 4m^2
3mn^2 + 4m^2n + 8m^2
Therefore, the simplified expression is 3mn^2 + 4m^2n + 8m^2.