Question: Perform the operation. \((-3x^2 + 3x - 8) + (6x^2 - 4x)\) Answer

Perform the operation.

\((-3x^2 + 3x - 8) + (6x^2 - 4x)\)

Answer

Solution

To perform the operation, we need to combine like terms from the expression: \[ (-3x^2 + 3x - 8) + (6x^2 - 4x) \] First, combine the \(x^2\) terms: \[ -3x^2 + 6x^2 = 3x^2 \] Next, combine the \(x\) terms: \[ 3x - 4x = -x \] Finally, consider the constant term: \[ -8 \] Now, put it all together: \[ 3x^2 - x - 8 \] So the simplified expression is: \[ 3x^2 - x - 8 \]