Expand the Expression Using the Binomial Theorem $$( 2 x + y ) ^ { 6 }$$

question 41

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 2 x + y ) ^ { 6 }$$

• A) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 480 x ^ { 4 } y ^ { 2 } + 960 x ^ { 3 } y ^ { 3 } + 1440 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• B) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 60 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• C) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 240 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• D) \(2 x ^ { 6 } + 12 x ^ { 5 } y + 30 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 12 x y ^ { 5 } + y ^ { 6 }\)

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Definitions:

Reproductive Cells

Cells involved in sexual reproduction, including sperms in males and eggs (ova) in females.

Gametes

Reproductive cells (sperm in males and eggs in females) that carry half the genetic information of an individual, combining during fertilization to form a new organism.

Meiosis

is a type of cell division that reduces the number of chromosomes in the parent cell by half and produces four gamete cells.

Nutrient Molecules

Organic compounds and minerals that organisms consume and utilize for energy, growth, and cellular repair.