Question
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Answer
The expression simplifies to \(4cd - 3c^{2}d + 12c\).
Solution
Calculate or simplify the expression \( 4cd-3c^{2}d+12c \).
Simplify the expression by following steps:
- step0: Solution:
\(4cd-3c^{2}d+12c\)
The simplified form of the expression \(4cd-3c^{2}d+12c\) is \(4cd-3c^{2}d+12c\).
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Simplify this solution The Deep Dive
To solve or simplify the expression \( 4 c d - 3 c^{2} d + 12 c \), we can factor it. Notice that we can extract a common factor from the first two terms, which is \( c d \): Rearranging gives us: \( c d(4 - 3c) + 12c \). Now, if we want to factor completely or analyze further, we could also consider grouping or seeking common factors in terms of \( c \). An alternate expression could be \( c(12 + d(4 - 3c)) \), indicating the relationships between \( c \), \( d \), and their coefficients. Factoring allows for a clearer understanding and can lead to solving equations involving these variables!
