Use the Binomial Theorem to Expand and Simplify the Expression $( a + 8 ) ^ { 4 }$

question 98

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( a + 8 ) ^ { 4 }$

• A) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• B) \(a ^ { 4 } - 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• C) \(a ^ { 4 } + 32 a ^ { 3 } + 512 a ^ { 2 } + 2048 a + 4096\)
• D) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a - 4096\)
• E) \(a ^ { 4 } + 64 a ^ { 3 } - 512 a ^ { 2 } - 2048 a + 4096\)

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Definitions:

Confidence Interval

An estimate indicating the range within which a population parameter is likely to lie, with a certain degree of certainty, based on data from a smaller sample.

Margin of Error

An expression of the amount of random sampling error in survey results, indicating a range within which the true population parameter is expected to lie.

Sample Size

The number of individual observations or data points collected and used in a statistical analysis.

Surgical Site Infections

Post-surgical infections that arise in the area operated on.