Perform the Indicated Operations and Simplify the Result $$\frac { x ^ { 2 } + 12 x + 27 } { x ^ { 2 } + 16 x + 63 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 7 x + 12 }$$

question 273

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { x ^ { 2 } + 12 x + 27 } { x ^ { 2 } + 16 x + 63 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 7 x + 12 }$$

• A) \(\frac { 1 } { x + 4 }\)
• B) \(\frac { x } { x + 4 }\)
• C) \(\frac { x } { x ^ { 2 } + 16 x + 63 }\)
• D) \(\frac { x ^ { 2 } + 7 x } { x + 4 }\)

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Definitions:

Groupthink

A deterioration of mental efficiency, reality testing, and moral judgment in the interest of group solidarity; extreme form of consensus

Harmony

A state of agreement or concord, often used to describe peaceful and coherent relationships among individuals or elements within a whole.

Group Solidarity

The unity, cohesion, and sense of belonging among members of a group, often seen in shared goals or values.

Self-Oriented

Focused on oneself, often concerning personal interests, welfare, or benefit, possibly at the expense of others.