1) $$ (x^2 + 8x) - (4 - 3x) = x^2 + 8x - 4 + 3x = x^2 + 11x - 4 $$
2) $$ (2x^2 + 5x) - (4x^2 - 2x) = 2x^2 + 5x - 4x^2 + 2x = -2x^2 + 7x $$
3) $$ (4x^2 - 7x + 3) - (x^2 - 8x + 11) = 4x^2 - 7x + 3 - x^2 + 8x - 11 = 3x^2 + x - 8 $$
4) $$ (9m^2 - 5m + 4) - (-10m + m^3 + 5) = 9m^2 - 5m + 4 + 10m - m^3 - 5 = -m^3 + 9m^2 + 5m - 1 $$