Write Out the Form of the Partial Fraction Decomposition Of \frac

question 43

Essay

Write out the form of the partial fraction decomposition of $\frac { x ^ { 2 } - 8 } { ( x - 1 ) ^ { 2 } ( x + 3 ) }$ .

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Definitions:

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain, involved in higher brain functions such as thought, language, and memory.

Limbic System

A complex system of nerves and networks in the brain, involving several areas near the edge of the cortex concerned with instinct and mood. It controls the basic emotions (fear, pleasure, anger) and drives (hunger, sex, dominance, care of offspring).

Cingulate Cortex

A part of the brain situated in the medial aspect of the cerebral cortex, involved in emotional processing, learning, and memory.

Hippocampus

A major component of the brain involved in forming new memories and is associated with learning and emotions.