Factor the Four-Term Polynomial by Grouping $24 a ^ { 3 } + 30 a ^ { 2 } b - 20 a b ^ { 2 } - 25 b ^ { 3 }$

question 65

Multiple Choice

Factor the four-term polynomial by grouping.
- $24 a ^ { 3 } + 30 a ^ { 2 } b - 20 a b ^ { 2 } - 25 b ^ { 3 }$

• A) \(\left( 6 a ^ { 2 } - 5 b \right) ( 4 a + 5 b )\)
• B) \(\left( 24 a ^ { 2 } - 5 b ^ { 2 } \right) ( a + 5 b )\)
• C) \(\left( 6 a ^ { 2 } - 5 b ^ { 2 } \right) ( 4 a + 5 b )\)
• D) \(\left( 6 a ^ { 2 } + 5 b ^ { 2 } \right) ( 4 a - 5 b )\)

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Definitions:

Heimlich Maneuver

An emergency technique used to expel an object from the airway of a person who is choking.

Choking

The obstruction of the upper airway by food or other objects, which can block airflow and cause a serious emergency.

Cardiopulmonary Resuscitation

An emergency procedure combining chest compressions with artificial ventilation in an effort to manually preserve brain function until further measures are taken to restore spontaneous blood circulation and breathing in a person in cardiac arrest.

Prone

A position where the individual is lying flat, facing downwards.