Factor by grouping.
\[
v y+27 v-3 y-9 v^{2}
\]

Answer

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Answer

Final Answer: \(\boxed{(-9v + y)(v - 3)}\)

Steps

Step 1 ：The given expression is: \(v y+27 v-3 y-9 v^{2}\)

Step 2 ：We can rearrange the terms and group them as follows: \((v y-3 y)+(27 v-9 v^{2})\)

Step 3 ：Now, we can factor out the greatest common factor from each group.

Step 4 ：The factored expression is \((-9v + y)(v - 3)\). This is the final answer.

Step 5 ：Final Answer: \(\boxed{(-9v + y)(v - 3)}\)