Find the Product and Simplify $\frac { x ^ { 2 } - 16 x + 55 } { x ^ { 2 } - 16 x + 48 } \cdot \frac { x ^ { 2 } - 15 x + 36 } { x ^ { 2 } - 20 x + 99 }$

question 69

Multiple Choice

Find the product and simplify.
- $\frac { x ^ { 2 } - 16 x + 55 } { x ^ { 2 } - 16 x + 48 } \cdot \frac { x ^ { 2 } - 15 x + 36 } { x ^ { 2 } - 20 x + 99 }$

• A) \(\frac { ( x - 5 ) ( x - 3 ) } { ( x - 4 ) ( x - 9 ) }\)
• B) \(\frac { ( x - 5 ) } { ( x - 9 ) }\)
• C) \(\frac { ( x + 5 ) ( x + 3 ) } { ( x + 4 ) ( x + 9 ) }\)
• D) \(\frac { \left( x ^ { 2 } - 16 x + 55 \right) \left( x ^ { 2 } - 15 x + 36 \right) } { \left( x ^ { 2 } - 16 x + 48 \right) \left( x ^ { 2 } - 20 x + 99 \right) }\)

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Definitions:

Unipolar Depression

A mood disorder involving persistent feelings of sadness, loss, or anger that interfere with a person's everyday activities.

Maladaptive Attitudes

Cognitive beliefs or thoughts that are disproportionately negative and can lead to emotional distress or mental health issues.

Depressive Symptoms

Signs that may indicate depression, including persistent sadness, lack of interest in activities, and changes in sleep or appetite.

Cognitive-behavioral Therapy

A form of psychotherapy that treats problems and boosts happiness by modifying dysfunctional emotions, behaviors, and thoughts.