According to the Distributive Property, which expression is equivalent to 4x3+8x2+12x ?(1 point) Responses (2x2+4)(2x−3) left parenthesis 2 x squared plus 4 right parenthesis left parenthesis 2 x minus 3 right parenthesis 4x(4x+5x) 4 x left parenthesis 4 x plus 5 x right parenthesis (2x2+4)(2x2+3) left parenthesis 2 x squared plus 4 right parenthesis left parenthesis 2 x squared plus 3 right parenthesis 4x(x2+2x+3) 4 x left parenthesis x squared plus 2 x plus 3 right parenthesis

To identify which expression is equivalent to \( 4x^3 + 8x^2 + 12x \) using the Distributive Property, we can first factor out the common factor \( 4x \) from the given expression.

Starting with \( 4x^3 + 8x^2 + 12x \):

1. Factor out \( 4x \):
\[
4x(x^2 + 2x + 3)
\]

Now we need to compare this expression with the provided options:

- \( (2x^2 + 4)(2x - 3) \)
- \( 4x(4x + 5x) \)
- \( (2x^2 + 4)(2x^2 + 3) \)
- \( 4x(x^2 + 2x + 3) \)

The only expression that matches our factored form of \( 4x(x^2 + 2x + 3) \) is:

**\( 4x(x^2 + 2x + 3) \)**

Thus, the correct answer is:
**\( 4x(x^2 + 2x + 3) \)**.