Let's simplify the expression step by step:
Starting with the expression: \[ -(5x - 2)(4x + 8) + 3x^2 - 9x \]
-
Distribute the negative sign: \[ = - (5x \cdot 4x + 5x \cdot 8 - 2 \cdot 4x - 2 \cdot 8) + 3x^2 - 9x \] That simplifies to: \[ = - (20x^2 + 40x - 8) + 3x^2 - 9x \]
-
Distributing the negative: \[ = -20x^2 - 40x + 8 + 3x^2 - 9x \]
-
Combine like terms:
- For the \(x^2\) terms: \[ -20x^2 + 3x^2 = -17x^2 \]
- For the \(x\) terms: \[ -40x - 9x = -49x \]
-
So we have: \[ -17x^2 - 49x + 8 \]
The final, simplified expression is: \[ -17x^2 - 49x + 8 \]
Therefore, none of the provided responses seem to exactly match this form directly, but we can check if any were miscalculated. However, looking closely, they are all different. The most simplified answer that fits with my calculation appears to be unlisted.
Make sure to review the responses again to see if any might correspond to a different form of the same polynomial or if there was a verification step needed for those specific answers.
1 answer