Write the Binomial Expansion of the Expression $$\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$$

question 425

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( \frac { 1 } { 3 } x + 5 \right) ^ { 3 }$$

• A) \(\frac { 1 } { 9 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 125\)
• B) \(\frac { 1 } { 27 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 25 x + 125\)
• C) \(\frac { 1 } { 9 } x ^ { 3 } + \frac { 5 } { 3 } x ^ { 2 } + 25 x + 125\)
• D) \(\frac { 1 } { 27 } x ^ { 6 } + \frac { 10 } { 9 } x ^ { 3 } + 125\)

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Definitions:

Temporal Lobe

A region of the brain responsible for processing auditory information and encoding memory.

Sensory Registers

A short-term storage system for sensory information, where such information is held briefly before it's either discarded or processed further.

Capacity

The ability or potential an individual or entity has to perform, produce, or hold something.

Sensory Registers

Memory systems that hold sensory information for a very short period of time, allowing it to be processed further.