Use the Binomial Theorem to Expand and Simplify the Expression $( 4 x + 3 y ) ^ { 4 }$

question 46

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 4 x + 3 y ) ^ { 4 }$

• A) \(256 x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• B) \(256 x ^ { 4 } + 4 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + y ^ { 4 }\)
• C) \(256 x ^ { 4 } + 108 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• D) \(x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• E) \(256 x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + 81 y ^ { 4 }\)

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Definitions:

Permissible Variation

The degree to which a value or dimension may vary without affecting the operation or purpose of a component or system.

Technical Drawing

A precise and detailed drawing, usually created by draftsmen or engineers, used to fully and clearly define requirements for engineered items.

Symbol

A graphical element used on drawings or in documentation to represent a specific concept, operation, or component without the need for textual explanation.

Squareness

The degree to which two surfaces or lines form a perfect 90-degree angle, indicating precision and alignment.