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The expanded form is \(2d^2 + 6d\).
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To expand \( 2 d(d+3) \), you start by distributing the \( 2d \) across the terms inside the parentheses. First, you multiply \( 2d \) by \( d \), which gives you \( 2d^2 \). Next, you multiply \( 2d \) by \( 3 \), resulting in \( 6d \). Putting it all together, the expanded expression is: \[ 2d(d+3) = 2d^2 + 6d \]
