Use the Binomial Theorem to Expand and Simplify the Expression $( x + 6 ) ^ { 4 }$

question 18

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( x + 6 ) ^ { 4 }$ ​

• A) \(x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296\)
• B) \(x ^ { 4 } - 24 x ^ { 3 } - 216 x ^ { 2 } + 864 x + 1296\)
• C) \(x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x - 1296\)
• D) \(x ^ { 4 } + 36 x ^ { 3 } - 216 x ^ { 2 } + 864 x - 1296\)
• E) \(x ^ { 4 } + 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296\)

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Definitions:

Elbow

A joint that connects the forearm to the upper arm, allowing for a range of movements including bending and straightening.

Closer

Positioned near or nearer to the end of a process, sequence, or lifecycle, often implying a role in concluding or finalizing.

Body Structure

The physical and anatomical makeup of a living organism, including its organs, tissues, and cells.

Cells

The basic structural, functional, and biological units of all living organisms, serving as the building blocks of life.