(1) \( 4 c d-3 c^{2} d+12 c \)

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!