Perform the Division and Simplify $\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }$

question 83

Essay

Perform the division and simplify. $\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }$

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Definitions:

Pineal Body

A small endocrine gland in the brain that produces melatonin, a hormone that regulates sleep-wake cycles.

Epithalamus

A part of the diencephalon in the brain that includes the pineal gland and is involved in the regulation of sleep-wake cycles.

Diencephalon

A division of the brain located between the cerebral hemispheres and brainstem, comprising structures such as the thalamus and hypothalamus, essential for sensory and autonomic functions.

Midbrain

A part of the brainstem that plays an important role in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.