Expand Using the Binomial Theorem $$( x - 1 ) ^ { 6 }$$

question 114

Multiple Choice

Expand using the binomial theorem.
- $$( x - 1 ) ^ { 6 }$$

• A) \(x ^ { 6 } - 6 x ^ { 5 } - 30 x ^ { 4 } - 120 x ^ { 3 } - 360 x ^ { 2 } - 720 x + 720\)
• B) \(x ^ { 6 } - 6 x ^ { 5 } + 30 x ^ { 4 } - 120 x ^ { 3 } + 30 x ^ { 2 } - 6 x + 1\)
• C) \(x ^ { 6 } - 6 x ^ { 5 } + 15 x ^ { 4 } - 20 x ^ { 3 } + 15 x ^ { 2 } - 6 x + 1\)
• D) \(x ^ { 6 } - 6 x ^ { 5 } - 15 x ^ { 4 } - 20 x ^ { 3 } - 15 x ^ { 2 } - 6 x - 6\)

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Definitions:

Protein Synthesis

The biological process through which cells build proteins based on the genetic instructions encoded in DNA.

Liposomes

Small artificial vesicles made of lipid bilayers, used in drug delivery systems and various biotechnological applications.

Lipids

A group of naturally occurring molecules that include fats, waxes, sterols, fat-soluble vitamins, and other related compounds, serving as energy storage and structural components of cell membranes.

Protobionts

Early protocell structures that are believed to have preceded true living cells, consisting of a membrane-like structure enclosing biopolymers and other organic molecules.