Question

2(-3x² + 6x + 1) - 2(4x² - 3x + 1)

Explanation:

Step1: Distribute the 2 and -2

$2(-3x^2 + 6x + 1) = -6x^2 + 12x + 2$
$-2(4x^2 - 3x + 1) = -8x^2 + 6x - 2$

Step2: Combine like terms

$(-6x^2 - 8x^2) + (12x + 6x) + (2 - 2)$
$= -14x^2 + 18x + 0$

Answer:

$-14x^2 + 18x$