Which of these is a correct expansion of (4x – 2)(2x2 + 3)?A.4x • 2x2 + 4x • 3 + 2 • 2x2 + 2 • 3B.4x • 2x2 + (–2) • 2x2 + 2x2 • 3 + (–2) • 3C.4x • 2x2 + 4x • 3 + (–2) • 2x2 + (–2) • 3

The correct expansion of (4x – 2)(2x2 + 3) is B. 4x • 2x2 + (–2) • 2x2 + 4x • 3 + (–2) • 3.

Here's the step-by-step process:

1. Distribute 4x across the terms in the second parentheses: 4x * 2x2 + 4x * 3. This gives us 8x3 + 12x.

2. Distribute -2 across the terms in the second parentheses: -2 * 2x2 + -2 * 3. This gives us -4x2 - 6.

3. Combine these results to get the final expanded form: 8x3 + 12x - 4x2 - 6.