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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(x2+2x+3) 4 x left parenthesis x squared plus 2 x plus 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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To use the Distributive Property and factor the expression \( 4x^3 + 8x^2 + 12x \), we can first factor out the common factor, which is \( 4x \):

\[
4x^3 + 8x^2 + 12x = 4x(x^2 + 2x + 3)
\]

Now, let's look at the options provided. The expression \( 4x(x^2 + 2x + 3) \) corresponds to the second choice:

**4x(x² + 2x + 3)**

Therefore, the correct answer is:

**4x(x² + 2x + 3)**.