8x²+7x-4)-(5x²-4x-3)

To simplify the expression \((8x² + 7x - 4) - (5x² - 4x - 3)\), we can first distribute the negative sign across the second polynomial: \[ 8x² + 7x - 4 - 5x² + 4x + 3 \] Now, combine like terms: 1. Combine the \(x²\) terms: \[ 8x² - 5x² = 3x² \] 2. Combine the \(x\) terms: \[ 7x + 4x = 11x \] 3. Combine the constant terms: \[ -4 + 3 = -1 \] Now, putting it all together, we get: \[ 3x² + 11x - 1 \] So, the simplified expression is: \[ \boxed{3x² + 11x - 1} \]