Use Pascal's Triangle to Expand the Binomial $$( x + 3 y ) ^ { 6 }$$

question 57

Multiple Choice

Use Pascal's triangle to expand the binomial.
- $$( x + 3 y ) ^ { 6 }$$

• A) \(x ^ { 6 } + 18 x ^ { 5 } y + 108 x ^ { 4 } y ^ { 2 } + 486 x ^ { 3 } y ^ { 3 } + 972 x ^ { 2 } y ^ { 4 } + 1458 x y ^ { 5 } + 729 y ^ { 6 }\)
• B) \(x ^ { 6 } + 18 x ^ { 5 } y + 36 x ^ { 4 } y ^ { 2 } + 54 x ^ { 3 } y ^ { 3 } + 36 x ^ { 2 } y ^ { 4 } + 18 x y ^ { 5 } + 3 y ^ { 6 }\)
• C) \(x ^ { 6 } + 18 x ^ { 5 } y + 729 x ^ { 4 } y ^ { 2 } + 60 x ^ { 3 } y ^ { 3 } + 729 x ^ { 2 } y ^ { 4 } + 18 x y ^ { 5 } + 3 y ^ { 6 }\)
• D) \(x ^ { 6 } + 18 x ^ { 5 } y + 135 x ^ { 4 } y ^ { 2 } + 540 x ^ { 3 } y ^ { 3 } + 1215 x ^ { 2 } y ^ { 4 } + 1458 x y ^ { 5 } + 729 y ^ { 6 }\)

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Definitions:

Dimer

A molecular complex formed by two, usually identical, molecules joined together.

Neurons

Specialized cells of the nervous system that transmit signals throughout the body, enabling functions like movement, thought, and sensation.

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Pertaining to electricity; involving, produced by, or related to electric charges or currents.

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