First, distribute the negative sign in the expression:
(−4x2−5x+6)−(x2−7)+(−7x2−8x−5) \left(-4x^2 - 5x + 6\right) - \left(x^2 - 7\right) + \left(-7x^2 - 8x - 5\right) (−4x2−5x+6)−(x2−7)+(−7x2−8x−5)
This becomes:
−4x2−5x+6−x2+7−7x2−8x−5 -4x^2 - 5x + 6 - x^2 + 7 - 7x^2 - 8x - 5 −4x2−5x+6−x2+7−7x2−8x−5
Now, combine the like terms:
The simplified expression is:
−12x2−13x+8 \boxed{-12x^2 - 13x + 8} −12x2−13x+8
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