Questions: Simplify: (-4 x^2-5 x+6)-(x^2-7)+(-7 x^2-8 x-5)

Solution Steps

First, distribute the negative sign in the expression:

$$\left(-4x^2 - 5x + 6\right) - \left(x^2 - 7\right) + \left(-7x^2 - 8x - 5\right)$$

This becomes:

$$-4x^2 - 5x + 6 - x^2 + 7 - 7x^2 - 8x - 5$$

Now, combine the like terms:

• Combine the $x^2$ terms: $-4x^2 - x^2 - 7x^2 = -12x^2$
• Combine the $x$ terms: $-5x - 8x = -13x$
• Combine the constant terms: $6 + 7 - 5 = 8$

Final Answer