Factor the Expression $$- 20 a b c - 20 a c ^ { 2 } + 4 b c + 4 c ^ { 2 }$$

question 78

Multiple Choice

Factor the expression. $$- 20 a b c - 20 a c ^ { 2 } + 4 b c + 4 c ^ { 2 }$$

• A) \(- 4 c ( b - c ) ( 5 a + 1 )\)
• B) \(- 4 c ( b - 1 ) ( 5 a + c )\)
• C) \(- 4 c ( b + c ) ( 5 a - 1 )\)
• D) \(4 c ( b - 1 ) ( 5 a + c )\)
• E) \(- 4 c ( b + 1 ) ( 5 a - c )\)

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Definitions:

Down Field

In NMR spectroscopy, referring to shifts in resonance frequency towards lower magnetic field strengths, often indicating an electron-withdrawing environment.

Proton Spin Decoupled

A technique in NMR spectroscopy where the interactions between proton spins are removed or decoupled, simplifying the spectrum and making it easier to interpret.

P-Diethylbenzene

A type of diethylbenzene where the ethyl groups are attached to para positions on a benzene ring, providing unique chemical properties.

Proton Spin Decoupled

A technique in NMR spectroscopy where the interaction between proton spins is removed, simplifying the spectrum and making it easier to interpret chemical environments.