Simplify the Complex Fraction $\frac { 64 x ^ { 2 } - 144 x + 81 } { x ^ { 2 } + 10 x + 25 } \div \frac { 16 x ^ { 2 } - 10 x - 9 } { 2 x ^ { 2 } + 3 x - 35 }$

question 66

Multiple Choice

Simplify the complex fraction. $\frac { 64 x ^ { 2 } - 144 x + 81 } { x ^ { 2 } + 10 x + 25 } \div \frac { 16 x ^ { 2 } - 10 x - 9 } { 2 x ^ { 2 } + 3 x - 35 }$

• A) \(\frac { 2 ( 8 x + 9 ) } { x - 9 } , x \neq - \frac { 9 } { 8 } , x \neq 0\)
• B) \(\frac { ( x - 5 ) ( 8 x - 1 ) } { ( x + 9 ) ( 2 x + 1 ) } , x \neq 5 , x \neq \frac { 1 } { 8 }\)
• C) \(\frac { ( 8 x - 9 ) ( 2 x - 7 ) } { ( x + 5 ) ( 2 x + 1 ) } , x \neq \frac { 9 } { 8 } , x \neq \frac { 7 } { 2 }\)
• D) \(\frac { ( x - 9 ) ( 2 x + 1 ) } { ( 8 x - 9 ) ( 2 x - 1 ) } , x \neq 9 , x \neq \frac { 1 } { 2 }\)
• E) \(- \frac { 7 ( 8 x - 9 ) } { x + 5 } , x \neq - \frac { 8 } { 9 } , x \neq 0\)

---

Definitions:

Widgets

A generic term often used in economics or technology to refer to any hypothetical manufactured product.