Expand Using the Binomial Theorem $$( x + 4 ) ^ { 3 }$$

question 16

Multiple Choice

Expand using the binomial theorem.
- $$( x + 4 ) ^ { 3 }$$

• A) \(x ^ { 3 } + 12 x ^ { 2 } + 48 x + 64\)
• B) \(x ^ { 3 } + 12 x ^ { 2 } + 8 x + 64\)
• C) \(x ^ { 3 } + 12 x ^ { 2 } + 12 x + 64\)
• D) \(x ^ { 3 } + 4 x ^ { 2 } + 8 x + 64\)

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Definitions:

Obverse

The opposite or counterpart of a given statement, often involving negation.

Complement

In set theory, the set of all elements not in a specific set, relative to a larger set.

Proposition

A statement that can either be true or false, but not both, used in logic to convey meaning.

Complement

In set theory, referring to the set of all elements not in a particular set within a given universal set; in logic, it may refer to the negation of a concept or term.