Simplify the Following Complex Fraction $\frac { \frac { 1 } { x + 7 } - \frac { 8 } { x - 9 } } { \frac { x } { x - 9 } + \frac { 5 } { x + 7 } }$

question 36

Multiple Choice

Simplify the following complex fraction. $\frac { \frac { 1 } { x + 7 } - \frac { 8 } { x - 9 } } { \frac { x } { x - 9 } + \frac { 5 } { x + 7 } }$

• A) \(\frac { - 7 x - 65 } { x ^ { 2 } + 12 x - 45 }\)
• B) \(\frac { - 7 } { x + 5 }\)
• C) \(\frac { x - 17 } { x ^ { 2 } + 7 x + 5 }\)
• D) \(\frac { - 7 x + 47 } { x ^ { 2 } + 12 }\)
• E) \(\frac { x - 2 } { x ^ { 2 } - 2 x - 63 }\)

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