Perform the operation. \[ \left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right) \]

To perform the operation, we start with the expression: \[ \left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right) \] Distributing the negative sign in front of the second expression gives us: \[ -10 x^{2}+2 x-10 + 10 x^{2} - 3 \] Now, we can combine like terms: 1. The \( -10 x^{2} + 10 x^{2} \) terms cancel out, resulting in \( 0 \). 2. For the linear term, we have \( +2x \). 3. For the constant terms, we combine \( -10 - 3 \) which equals \( -13 \). Putting it all together, we arrive at: \[ 2x - 13 \] Thus, the final result is: \[ 2x - 13 \]