Answer: x²+4x+8_______. CAN NOT BE SIMPLIFIED FURTHER3x-27Step-by-step explanation:1. **Factor the Bottom Part:** - The bottom part can be written as three times the quantity of \(x\) minus nine.2. **Check the Top Part:** - The top part, \(x\) squared plus four times \(x\) plus eight, does not easily break down into simpler factors that match the bottom part.3. **Simplify:** - Since there are no common factors between the top part and the bottom part, you cannot simplify the fraction further.So, the fraction remains as it is, with the top part being \(x\) squared plus four times \(x\) plus eight, and the bottom part being three times \(x\) minus twenty-seven.