Let's simplify the given expression step-by-step:
Given Expression:
[tex]\[ 2d(2d - 3) \][/tex]
1. Distribute the Constants and Variable: Distribute the term \(2d\) over the terms inside the parenthesis.
[tex]\[ 2d \cdot 2d + 2d \cdot (-3) \][/tex]
2. Multiply Each Term:
- First Term: \(2d \cdot 2d = 4d^2\)
- Second Term: \(2d \cdot (-3) = -6d\)
3. Combine the Terms: After distribution, we combine the terms obtained.
[tex]\[ 4d^2 - 6d \][/tex]
So, the simplified form of the given expression \(2d(2d - 3)\) is:
[tex]\[ \boxed{4d^2 - 6d} \][/tex]
