Question

simplify
$(-6x^2 + 6x - 7) - (-x^2 - 8x - 1) + (-5x^2 + 3x + 4)$

Explanation:

Step1: Remove parentheses (distribute the negative sign)

$(-6x^2 + 6x - 7) - (-x^2 - 8x - 1) + (-5x^2 + 3x + 4)$
$= -6x^2 + 6x - 7 + x^2 + 8x + 1 - 5x^2 + 3x + 4$

Step2: Combine like terms for \(x^2\) terms

$-6x^2 + x^2 - 5x^2 = (-6 + 1 - 5)x^2 = -10x^2$

Step3: Combine like terms for \(x\) terms

$6x + 8x + 3x = (6 + 8 + 3)x = 17x$

Step4: Combine like terms for constant terms

$-7 + 1 + 4 = (-7 + 1) + 4 = -6 + 4 = -2$

Step5: Combine all combined terms

Putting it all together: $-10x^2 + 17x - 2$

Answer:

\(-10x^2 + 17x - 2\)