Factor by Grouping $$12 a ^ { 3 } - 9 a ^ { 2 } b - 20 a b ^ { 2 } + 15 b ^ { 3 }$$

question 122

Multiple Choice

Factor by grouping.
- $$12 a ^ { 3 } - 9 a ^ { 2 } b - 20 a b ^ { 2 } + 15 b ^ { 3 }$$

• A) \(\left( 12 a ^ { 2 } - 5 b ^ { 2 } \right) ( a - 3 b )\)
• B) \(\left( 3 a ^ { 2 } - 5 b \right) ( 4 a - 3 b )\)
• C) \(\left( 3 a ^ { 2 } - 5 b ^ { 2 } \right) ( 4 a - 3 b )\)
• D) \(\left( 3 a ^ { 2 } + 5 b ^ { 2 } \right) ( 4 a + 3 b )\)

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Definitions:

Output Effect

The output effect is the change in total revenue resulting from selling additional units of a product, considering the impact on price due to supply and demand.

Elastic Demand

A condition where the quantity demanded of a good or service is highly responsive to changes in its price.

Output Effect

The impact on total revenue when a firm changes its output level, considering demand elasticity.

Substitution Effect

The change in consumption patterns due to a relative change in prices leading consumers to substitute one product for another.