Simplify the Expression $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

question 7

Multiple Choice

Simplify the expression. $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

• A) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)
• B) \(\frac { x - 2 } { ( x + 3 ) ( x + 2 ) }\)
• C) \(\frac { x ^ { 2 } - 14 } { ( x + 3 ) ( x + 2 ) }\)
• D) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 2 ) }\)
• E) \(\frac { x ^ { 2 } - 21 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)

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