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To rewrite the expression \( 2(x+1)(x+2) \), we first need to expand it.
1. **Multiply the binomials**:
\((x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2\).
2. **Now multiply by 2**:
\(2(x^2 + 3x + 2) = 2x^2 + 6x + 4\).
So the expression \( 2(x+1)(x+2) \) can be rewritten as \( 2x^2 + 6x + 4 \).
Among the responses given, the correct answer is:
**2x² + 6x + 4**.