Simplify the Following Rational Expression $\frac { 1 } { x ^ { 2 } - 7 x - 120 } + \frac { 1 } { x ^ { 2 } - 225 } + \frac { 1 } { x ^ { 2 } - 64 }$

question 38

Multiple Choice

Simplify the following rational expression. $\frac { 1 } { x ^ { 2 } - 7 x - 120 } + \frac { 1 } { x ^ { 2 } - 225 } + \frac { 1 } { x ^ { 2 } - 64 }$

• A) \(\frac { 3 x ^ { 2 } + 7 x - 409 } { ( x - 15 ) ( x + 8 ) }\)
• B) \(\frac { 3 x ^ { 2 } + 7 x - 409 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }\)
• C) \(\frac { 3 x ^ { 2 } + 7 x } { ( x + 15 ) ( x + 8 ) ( x - 8 ) }\)
• D) \(\frac { 3 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }\)
• E) \(\frac { 7 x - 409 } { ( x - 15 ) ( x + 15 ) ( x + 8 ) ( x - 8 ) }\)

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