[2x²(1 + 3x) - {(1 + 4x² - 2x) (5x - 1)}]=?

-14x³ + 16x² - 7x + 1

-14x³ + 16x² - 5x + 1

-14x³ + 16x² + 5x + 1

None of these

Let's break it down step by step:

1. Expand 2x²(1 + 3x):

2x² + 6x³

2. Expand (1 + 4x² - 2x)(5x - 1):

= 5x - 1 + 20x³ - 4x² - 10x² + 2x

= 20x³ - 14x² + 7x - 1

3. Now subtract:

2x² + 6x³ - (20x³ - 14x² + 7x - 1)

= 2x² + 6x³ - 20x³ + 14x² - 7x + 1

= -14x³ + 16x² - 7x + 1