Use a Factoring Formula to Factor the Expression $$27 s ^ { 3 } - 125 t ^ { 3 }$$

question 11

Multiple Choice

Use a Factoring Formula to factor the expression. $$27 s ^ { 3 } - 125 t ^ { 3 }$$

• A) \(( 3 s - 5 t ) \left( 9 s ^ { 2 } + 15 s t + 25 t ^ { 2 } \right)\)
• B) \(( 3 s + 5 t ) \left( 9 s ^ { 2 } - 15 s t + 25 t ^ { 2 } \right)\)
• C) \(( 3 s - 5 t ) \left( 9 s ^ { 2 } + 16 s t + 25 t ^ { 2 } \right)\)
• D) \(( 3 s + 5 t ) \left( 9 s ^ { 2 } - 17 s t + 25 t ^ { 2 } \right)\)
• E) \(( 3 s - 5 t ) \left( 9 s ^ { 2 } + 17 s t + 25 t ^ { 2 } \right)\)

---

Definitions:

Oxygen Concentrations

The percentage of oxygen in a particular mixture of gases, an important factor in medical treatment, especially for patients with respiratory issues.

Mechanical Ventilation

A method of providing respiratory support using a machine (ventilator) to push air into and pull air out of the lungs of a patient who is unable to breathe adequately on their own.

Respiratory Rate

The number of breaths a person takes per minute, an important vital sign.

Tachypnea

Abnormally fast respirations, usually more than 24 respirations per minute.