Write the Binomial Expansion of the Expression $$\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }$$

question 439

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( 3 x ^ { 2 } + 2 \right) ^ { 3 }$$

• A) \(81 x ^ { 8 } + 27 x ^ { 6 } + 54 x ^ { 4 } + 36 x ^ { 2 } + 8\)
• B) \(\left( 9 x ^ { 4 } + 12 x ^ { 2 } + 4 \right) ^ { 3 }\)
• C) \(27 x ^ { 6 } + 54 x ^ { 4 } + 36 x ^ { 2 } + 8\)
• D) \(27 x ^ { 3 } + 54 x ^ { 2 } + 36 x + 8\)

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Definitions:

Codon

A sequence of three nucleotides in mRNA that specifies a particular amino acid or termination signal during protein synthesis.

Amino Acid

Organic molecules that serve as the building blocks of proteins, containing both an amino group and a carboxyl group.

Coding Region

A portion of a gene's DNA or RNA that codes for protein.

AUG

The codon in messenger RNA that signals the start of translation and the amino acid methionine.