Simplify the Expression $\frac{(1)\left(x^{2}-8\right)^{1 / 2}-x\left[\frac{1}{3}\right]\left(x^{2}-8\right)^{-1 / 2}(3 x)}{\left[\left(x^{2}-8\right)^{1 / 2}\right]^{2}}$

question 145

Multiple Choice

Simplify the expression. Do not rationalize the denominator.
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$\frac{(1) \left(x^{2}-8\right) ^{1 / 2}-x\left[\frac{1}{3}\right]\left(x^{2}-8\right) ^{-1 / 2}(3 x) }{\left[\left(x^{2}-8\right) ^{1 / 2}\right]^{2}}$

• A) \(\frac { 1 - x ^ { 2 } } { \left( x ^ { 2 } - 8 \right) ^ { 5 / 2 } }\)
• B) \(\frac { 1 - x ^ { 2 } } { \left( x ^ { 2 } - 8 \right) ^ { 3 / 2 } }\)
• C) \(- \frac { 8 } { \left( x ^ { 2 } - 8 \right) ^ { 5 / 2 } }\)
• D) \(- \frac { 8 } { \left( x ^ { 2 } - 8 \right) ^ { 3 / 2 } }\)

Recognize the importance and methods of building professional relationships in media relations.

Utilize demographics and media preferences to enhance the effectiveness of PR campaigns.

Comprehend the shift in media consumption patterns and the rise of digital media platforms.

Understand the purpose and impact of including bloggers and digital influencers in PR strategies.

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Definitions:

Starve Themselves

The act of deliberately depriving oneself of food for extended periods, often associated with eating disorders or fasting practices.

Hypothalamus

A critical brain region involved in regulating physiological processes, including temperature, thirst, hunger, and emotional responses.

Thalamus

A small structure within the brain that acts as a relay station for sensory and motor signals to the cerebral cortex, playing a key role in regulating consciousness and sleep.

Cerebellum

A part of the brain that plays important roles in motor control, and it may also be involved in some cognitive functions.