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:

Depository Institutions

Financial institutions that accept deposits from individuals and provide loans.

Fed Charges

Fees or interest rates set by the Federal Reserve, often in the context of lending to financial institutions.

Board of Governors

The leading body of the Federal Reserve System, overseeing the Federal Reserve Banks and setting monetary policy in the United States.

Appointed

Selected or designated for a position or duty by an authority, rather than by election or competition.