Use the Binomial Theorem to Expand the Expression $\left( \frac { 2 } { x } + 2 y \right) ^ { 5 }$

question 75

Multiple Choice

Use the Binomial Theorem to expand the expression. Simplify your answer. $\left( \frac { 2 } { x } + 2 y \right) ^ { 5 }$

• A) \(\frac { 32 } { x ^ { 5 } } - \frac { 240 y } { x ^ { 4 } } + \frac { 720 y ^ { 2 } } { x ^ { 3 } } - \frac { 1080 y ^ { 3 } } { x ^ { 2 } } + \frac { 810 y ^ { 4 } } { x } - 243 y ^ { 5 }\)
• B) \(\frac { 32 } { x ^ { 5 } } - \frac { 160 y } { x ^ { 4 } } + \frac { 320 y ^ { 2 } } { x ^ { 3 } } - \frac { 320 y ^ { 3 } } { x ^ { 2 } } + \frac { 160 y ^ { 4 } } { x } - 32 y ^ { 5 }\)
• C) \(\frac { 1024 } { x ^ { 5 } } + \frac { 3840 y } { x ^ { 4 } } + \frac { 5760 y ^ { 2 } } { x ^ { 3 } } + \frac { 4320 y ^ { 3 } } { x ^ { 2 } } + \frac { 1620 y ^ { 4 } } { x } + 243 y ^ { 5 }\)
• D) \(\frac { 243 } { x ^ { 5 } } - \frac { 810 y } { x ^ { 4 } } + \frac { 1080 y ^ { 2 } } { x ^ { 3 } } - \frac { 720 y ^ { 3 } } { x ^ { 2 } } + \frac { 240 y ^ { 4 } } { x } - 32 y ^ { 5 }\)
• E) \(\frac { 32 } { x ^ { 5 } } + \frac { 160 y } { x ^ { 4 } } + \frac { 320 y ^ { 2 } } { x ^ { 3 } } + \frac { 320 y ^ { 3 } } { x ^ { 2 } } + \frac { 160 y ^ { 4 } } { x } + 32 y ^ { 5 }\)

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Definitions:

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Actions that intentionally cause physical, emotional, psychological, or sexual harm to another person.

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A pattern of abusive behaviors by one or more family members against another, including physical, sexual, emotional abuse, and neglect.

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A pattern of drinking that results in harm to one’s health, interpersonal relationships, or ability to work.