9m²-5m+4-(-10+m³+5)

To simplify the expression \(9m^2 - 5m + 4 - (-10 + m^3 + 5)\), follow these steps:

1. Distribute the negative sign across the terms inside the parentheses: \[ -(-10 + m^3 + 5) = 10 - m^3 - 5 \]

2. This simplifies to: \[ 10 - m^3 - 5 = 5 - m^3 \]

3. Now combine the simplified expression with the rest of the equation: \[ 9m^2 - 5m + 4 + 5 - m^3 \]

4. Combine like terms:

   • For the constants: \(4 + 5 = 9\)
   • The final expression is: \[ -m^3 + 9m^2 - 5m + 9 \]

So, the simplified expression is: \[ -m^3 + 9m^2 - 5m + 9 \]