Simplify the Complex Fraction A) $\frac { ( x - 9 ) ( x + 5 ) } { x - 8 } , x \neq - 9 , x \neq 5$

question 140

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { x ^ { 2 } - 14 x + 45 } { x ^ { 2 } - 10 x + 25 } \right) } { \left( \frac { 16 + 6 x - x ^ { 2 } } { x ^ { 2 } - 3 x - 40 } \right) }$

• A) \(\frac { ( x - 9 ) ( x + 5 ) } { x - 8 } , x \neq - 9 , x \neq 5\)
• B) \(\frac { ( 5 - x ) ( x + 2 ) } { ( x - 8 ) ( x + 9 ) } , x \neq - 2 , x \neq 9\)
• C) \(\frac { x + 8 } { x - 5 } , x \neq - 8 , x \neq 2\)
• D) \(\frac { x - 9 } { x + 2 } , x \neq 5 , x \neq 9\)
• E) \(\frac { ( 9 - x ) ( x + 5 ) } { ( x - 5 ) ( x + 2 ) } , x \neq - 5 , x \neq 8\)

---

Definitions:

Monthly Rates

Rates calculated or applied on a monthly basis, commonly found in subscriptions, rentals, or loans.

Annual Rates

The interest rate for a period of one year, often used in contexts such as loans or investments.

Diesel Fuel

A type of fuel derived from petroleum, used primarily in diesel engines, which are known for their efficiency and power.

Liter

A metric unit of volume equal to one cubic decimeter, used to measure liquids and other volumetric quantities.