Simplify the Expression $\frac { 3 a ^ { 2 } + 20 a + 25 } { a ^ { 4 } - 625 } \div \frac { 9 a ^ { 2 } + 30 a + 25 } { a ^ { 2 } - 5 a }$

question 9

Multiple Choice

Simplify the expression. $\frac { 3 a ^ { 2 } + 20 a + 25 } { a ^ { 4 } - 625 } \div \frac { 9 a ^ { 2 } + 30 a + 25 } { a ^ { 2 } - 5 a }$

• A) \(\frac { a } { \left( a ^ { 2 } - 25 \right) ( 3 a - 5 ) }\)
• B) \(\frac { a } { \left( a ^ { 2 } + 25 \right) ( 3 a - 5 ) }\)
• C) \(\frac { 1 } { \left( a ^ { 2 } - 25 \right) ( 3 a + 5 ) }\)
• D) \(\frac { a } { \left( a ^ { 2 } + 25 \right) ( 3 a + 5 ) }\)
• E) \(\frac { a } { \left( a ^ { 2 } - 25 \right) ( 9 a + 5 ) }\)

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