Question

simplify.
$(-8x^2 + 4x - 3) - \left(4x^2 - 3x + 8) - 2(-x^2 + x + 1)\
ight$

Explanation:

Step1: Expand innermost parentheses

$2(-x^2 + x + 1) = -2x^2 + 2x + 2$

Step2: Simplify the bracket term

$(4x^2 - 3x + 8) - (-2x^2 + 2x + 2) = 4x^2 - 3x + 8 + 2x^2 - 2x - 2$
Combine like terms: $6x^2 - 5x + 6$

Step3: Subtract bracket from outer polynomial

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

Step4: Combine final like terms

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

Answer:

$-14x^2 + 9x - 9$