Multiply, and Then Simplify If Possible $( \sqrt [ 3 ] { 169 } + 13 ) ( \sqrt [ 3 ] { 13 } - 1 )$

question 165

Multiple Choice

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
- $( \sqrt [ 3 ] { 169 } + 13 ) ( \sqrt [ 3 ] { 13 } - 1 )$

• A) \(13 \sqrt [ 3 ] { 13 } - \sqrt [ 3 ] { 169 }\)
• B) 0
• C) \(\sqrt [ 3 ] { 169 } - 13 \sqrt [ 3 ] { 13 }\)
• D) \(13 \sqrt [ 3 ] { 13 } + \sqrt [ 3 ] { 169 }\)

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Definitions:

Random Variable

A variable that takes on a range of values determined by a random phenomenon, and it's described by its probability distribution.

Probability Density

A mathematical function that specifies the likelihood of a continuous variable taking on a particular value, critical in the context of continuous probability distributions.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely to occur within a certain range.

Continuous Uniform

A distribution that assigns an equal probability to all outcomes in a continuous range.