Expand the Expression Using the Binomial Theorem $$( 3 x - 2 y ) ^ { 3 }$$

question 124

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 3 x - 2 y ) ^ { 3 }$$

• A) \(9 x ^ { 3 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• B) \(27 x ^ { 3 } - 54 x ^ { 2 } y + 36 x y ^ { 2 } - 8 y ^ { 3 }\)
• C) \(9 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• D) \(27 x ^ { 3 } - 18 x ^ { 2 } y + 12 x y ^ { 2 } - 8 y ^ { 3 }\)

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Definitions:

Prokaryotes

Prokaryotes are unicellular organisms lacking a distinct nucleus and membrane-bound organelles, including bacteria and archaea, characterized by their simple cellular structure.

Domains

In biology, refers to the highest categorization in the classification of life, dividing organisms into three groups: Bacteria, Archaea, and Eukarya.

Bacteria

Single-celled microorganisms that can be found in various environments, some of which are beneficial while others can cause diseases.

Poaceae

A large and economically important family of plants, also known as the grass family, which includes species like wheat, corn, and rice.