a) \( 5 a-2 b+4 a+5 b= \) b) \( 2 m^{2}-3 n-4 m^{2}-2 n= \) c) \( -x y^{3}+5 x^{2} y+3 x y^{3}-1 x^{2} y= \) d) \( 4 a^{2}-2 a+3-4 \) (e) \( -7 g^{2} h^{3}-2 g h^{2}+3 g h^{2}+2 g^{2} h^{2}= \)

First up, let's have some fun simplifying these expressions! For part (a): Combine like terms \(5a + 4a - 2b + 5b\) gives us \(9a + 3b\). Now onto part (b): Combine terms \(2m^2 - 4m^2 - 3n - 2n\), which simplifies to \(-2m^2 - 5n\). Next, for part (c): Combining \(-xy^3 + 3xy^3 + 5x^2y - x^2y\), gives us \(4x^2y + 2xy^3\). Moving on to part (d): Combine \(4a^2 - 2a + 3 - 4\) to get \(4a^2 - 2a - 1\). Lastly, for part (e): Combine \(-7g^2h^3 + 2g^2h^2 - 2gh^2 + 3gh^2\) to yield \(-7g^2h^3 + (2 - 2 + 3)gh^2 = -7g^2h^3 + 3gh^2\). And voilà! There you have it—each expression simplified! How math-tastic!