Perform the Indicated Operation and Express Your Answer in Simplest $$\frac { t + 18 } { 2 t + 3 } - \frac { 3 t ^ { 2 } + 3 t + 54 } { 2 t ^ { 2 } + 9 t + 9 } + \frac { t + 1 } { t + 3 }$$

question 81

Short Answer

Perform the indicated operation and express your answer in simplest form. $$\frac { t + 18 } { 2 t + 3 } - \frac { 3 t ^ { 2 } + 3 t + 54 } { 2 t ^ { 2 } + 9 t + 9 } + \frac { t + 1 } { t + 3 }$$ Please enter your answer as one fraction with the denominator factored completely.

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Definitions:

Hallucinations

Perceptions in a conscious and awake state in the absence of external stimuli, which have qualities of real perception.

Hearing

The sensory perception that allows individuals to recognize sound through vibrations interpreted by the brain.

Schizophrenia

A chronic brain disorder characterized by problems with thought, emotions, and behavior, leading to hallucinations, delusions, and disordered thinking.

Chronic Schizophrenia

A long-term, debilitating mental disorder characterized by distortions in thinking, perception, emotions, and behavior.