Factor by Any Method $$z ^ { 6 } - 64 a ^ { 6 }$$

question 130

Multiple Choice

Factor by any method.
- $$z ^ { 6 } - 64 a ^ { 6 }$$

• A) \(\left( z ^ { 2 } - 4 a ^ { 2 } \right) \left( z ^ { 4 } + 4 z ^ { 2 } a ^ { 2 } + 16 a ^ { 4 } \right)\)
• B) \(\left( z ^ { 3 } + 8 a ^ { 3 } \right) \left( z ^ { 3 } - 8 a ^ { 3 } \right)\)
• C) \(( z + 2 a ) ( z - 2 a ) \left( z ^ { 4 } + 4 z ^ { 2 } a ^ { 2 } + 16 a ^ { 4 } \right)\)
• D) \(( z + 2 a ) ( z - 2 a ) \left( z ^ { 2 } + 2 z a + 4 a ^ { 2 } \right) \left( z ^ { 2 } - 2 z a + 4 a ^ { 2 } \right)\)

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Definitions:

Mohenjo-daro

An archaeological site in Pakistan, representing one of the major urban settlements of the Indus Valley Civilization, known for its advanced urban planning and architecture.

Nataraja

A depiction of the Hindu god Shiva as the cosmic dancer who performs his divine dance to destroy a weary universe and make preparations for the god Brahma to start the process of creation.

Harihara

A deity in Hinduism that combines aspects of both Vishnu and Shiva, symbolizing their unity and the encompassing nature of the divine.

Ananda

A key disciple of the Buddha, known for his memory and recollection of the Buddha's teachings.