Perform the Indicated Operation and Simplify If Possible $\frac { x ^ { 2 } - 25 } { x ^ { 2 } + 5 x } \div \frac { x ^ { 2 } + 5 x + 1 } { 3 x - 18 }$

question 262

Multiple Choice

Perform the indicated operation and simplify if possible.
- $\frac { x ^ { 2 } - 25 } { x ^ { 2 } + 5 x } \div \frac { x ^ { 2 } + 5 x + 1 } { 3 x - 18 }$

• A) \(\frac { ( x + 5 ) \left( x ^ { 2 } + 5 x + 1 \right) } { 3 x ( x - 6 ) }\)
• B) \(\frac { 3 ( x - 5 ) ( x - 6 ) } { x \left( x ^ { 2 } + 5 x + 1 \right) }\)
• C) \(\frac { ( x - 5 ) \left( x ^ { 2 } + 5 x + 1 \right) } { 3 x ( x - 6 ) }\)
• D) \(\frac { 3 ( x + 5 ) ( x - 6 ) } { x \left( x ^ { 2 } + 5 x + 1 \right) }\)

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