Question

To simplify the expression \( 2(x+1)(x+2) \), we start by expanding the product inside the parentheses:

1. Expand \( (x+1)(x+2) \):
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]

2. Now, we multiply by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]

Thus, another way to write the expression \( 2(x+1)(x+2) \) is \( 2x^2 + 6x + 4 \).

So the correct response is:

**2x² + 6x + 4**