Find the Specified Nth Term in the Expansion of the Binomial.(Write

question 154

Multiple Choice

Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x.) $( 5 x - 2 y ) ^ { 6 } , n = 3$

• A) \(20 x ^ { 2 } y ^ { 3 }\)
• B) \(5 x ^ { 2 } y ^ { 4 }\)
• C) \(2500 x ^ { 2 } y ^ { 4 }\)
• D) \(20 x ^ { 2 } y ^ { 4 }\)
• E) \(5 x ^ { 4 } y ^ { 2 }\)

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Definitions:

Fasciculations

Involuntary, small, rapid muscle contractions or twitches visible under the skin, often benign but can be symptomatic of neurological conditions.

Positive Babinski

A reflex action in which the big toe remains extended or extends upward when the sole of the foot is stimulated, indicating neurological abnormality.

Dorsiflexion

The movement that brings the top of the foot toward the shin, decreasing the angle between the dorsal surface of the foot and the leg.

Clonus

A neurological condition characterized by involuntary muscle spasms or contractions resulting from a series of rapid, rhythmic, and repetitive reflexes.