Use One of the Appropriate Patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$

question 43

Multiple Choice

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 9 + 6 n ) ( 9 - 6 n )$

• A) \(81 - 36 n ^ { 2 }\)
• B) \(81 - 6 n ^ { 2 }\)
• C) \(9 - 36 n ^ { 2 }\)
• D) \(81 + 36 n ^ { 2 }\)
• E) none of these

---

Definitions:

Equilibrium Constants

A dimensionless number representing the ratio of product concentrations to reactant concentrations at equilibrium, with each concentration raised to the power of its coefficient in the balanced equation.

Aldehydes

Organic compounds characterized by the presence of a carbonyl group bonded to at least one hydrogen atom, typically found at the end of a molecule.

Ketones

Organic compounds characterized by a carbonyl group (C=O) bonded to two carbon atoms, prominent in many biological and synthetic contexts.

Cyanohydrins

Organic compounds containing both a hydroxyl and a nitrile group, typically formed from aldehydes or ketones and hydrogen cyanide.