To simplify the expression \(- (5x - 2)(4x + 8) + 3x^2 - 9x\), let's break it down step by step.
-
First, expand the product: \[
- (5x - 2)(4x + 8) \] Using the distributive property (FOIL method): \[ = - (20x^2 + 40x - 8) \] Simplifying gives: \[ = -20x^2 - 40x + 8 \]
-
Next, combine this with the other terms in the expression: \[ -20x^2 - 40x + 8 + 3x^2 - 9x \]
-
Combine like terms:
- For \(x^2\) terms: \(-20x^2 + 3x^2 = -17x^2\)
- For \(x\) terms: \(-40x - 9x = -49x\)
- The constant term remains \(8\).
Putting it all together: \[ -17x^2 - 49x + 8 \]
None of the given multiple choice answers match this result. Please double-check the relationships or provide any modifications to the initial expression that might affect the outcome.
1 answer