The Binomial Theorem States That for Any Real Numbers a and B

question 5

Essay

The binomial theorem states that for any real numbers a and b, $( a + b ) ^ { n } = \sum _ { k = 0 } ^ { n } \left( \begin{array} { l } n \\ k \end{array} \right) a ^ { n - k } b ^ { k }$ for any integer $n \geq 0$ .
Use this theorem to compute $( 2 x - 1 ) ^ { 5 }$

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Definitions:

Secondary Structure

The level of protein structure involving hydrogen bonding between the backbone amide and carbonyl groups, forming alpha-helices and beta-pleated sheets.

Double Helix

The structure formed by double-stranded molecules of nucleic acids such as DNA.

Random Coil

A polymers' configuration in solution where it adopts an erratic, non-ordered shape due to the random distribution of the torsion angles along its chain.

Creutzfeldt-Jakob Disease

A rare, degenerative, and invariably fatal brain disorder that belongs to a group of conditions known as prion diseases.