Write the Partial Fraction Decomposition of the Rational Expression $\frac { 5 } { x ^ { 2 } + 5 x }$

question 157

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 5 } { x ^ { 2 } + 5 x }$

• A) \(\frac { A } { x } + \frac { B } { x - 5 }\)
• B) \(\frac { 1 } { x } - \frac { 1 } { x + 5 }\)
• C) \(\frac { 1 } { x } + \frac { 1 } { x + 5 }\)
• D) \(\frac { A } { x } - \frac { B } { x - 5 }\)
• E) \(\frac { 1 } { x } - \frac { 1 } { x - 5 }\)

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Definitions:

Disinhibition

A decrease in restraint over one's actions or emotions, often leading to impulsive or inappropriate behavior.

Dishabituation

The restoration of a response that has undergone habituation, typically due to the presentation of a novel stimulus.

Neurotransmitter Release

The process by which neurotransmitters are secreted from neural synapses, facilitating communication between neurons.

Dishabituation

is the renewed response to a stimulus after habituation has occurred, typically due to a novel stimulus interrupting the habituation process.