Use the Binomial Theorem to Expand and Simplify the Expression $( a + 8 ) ^ { 4 }$

question 8

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( a + 8 ) ^ { 4 }$ ​

• A) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• B) \(a ^ { 4 } - 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a + 4096\)
• C) \(a ^ { 4 } + 32 a ^ { 3 } + 512 a ^ { 2 } + 2048 a + 4096\)
• D) \(a ^ { 4 } + 32 a ^ { 3 } + 384 a ^ { 2 } + 2048 a - 4096\)
• E) \(a ^ { 4 } + 64 a ^ { 3 } - 512 a ^ { 2 } - 2048 a + 4096\)

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Definitions:

Tumor

An abnormal mass of tissue that forms when cells grow and divide more than they should or do not die when they should.

Irregular Ragged

Characterized by a rough or uneven edge or surface, often found in a description of wounds or fabrics.

Melanoma

A type of skin cancer that originates from melanocytes and is noted for its ability to spread rapidly to other parts of the body.

Ordinary Mole

A common small, dark spot or growth on the skin, usually benign and composed of melanocytes.