Simplify the Rational Expression $$\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 2 x - 24 }$$

question 164

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- $$\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 2 x - 24 }$$

• A) \(\frac { x } { x - 4 }\)
• B) \(\frac { x ^ { 2 } + 7 x } { x - 4 }\)
• C) \(\frac { x } { x ^ { 2 } + 9 x + 14 }\)
• D) \(\frac { 1 } { x - 4 }\)

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