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To rewrite the expression \( 2(x+1)(x+2) \), we first expand the expression inside the parentheses:
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]
Now we multiply this result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]
So, the expression \( 2(x+1)(x+2) \) can be rewritten as:
\[
2x^2 + 6x + 4
\]
The corresponding response from your options is:
**2x² + 6x + 4**.