Factor the Polynomial $$15 a ^ { 3 } - 9 a ^ { 2 } b - 20 a b ^ { 2 } + 12 b ^ { 3 }$$

question 389

Multiple Choice

Factor the polynomial.
- $$15 a ^ { 3 } - 9 a ^ { 2 } b - 20 a b ^ { 2 } + 12 b ^ { 3 }$$

• A) \(\left( 3 a ^ { 2 } - 4 b ^ { 2 } \right) ( 5 a - 3 b )\)
• B) \(\left( 3 a ^ { 2 } - 4 b \right) ( 5 a - 3 b )\)
• C) \(\left( 15 a ^ { 2 } - 4 b ^ { 2 } \right) ( a - 3 b )\)
• D) \(\left( 3 a ^ { 2 } + 4 b ^ { 2 } \right) ( 5 a + 3 b )\)

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Definitions:

Frequency

The frequency at which an event happens or reoccurs within a specific timeframe or sample.

Amplitude

The extent or range of a variable wave, such as sound or light, often measured from the middle value to an extreme.

Pitch

A perceptual property of sounds that allows their ordering on a scale from low to high, primarily associated with the frequency of sound waves.

Loudness

A perceptual characteristic of sound that enables the differentiation of sounds on a scale from quiet to noisy, often measured in decibels.