Factor Completely $27 x ^ { 3 } - 125 y ^ { 3 }$

question 169

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $27 x ^ { 3 } - 125 y ^ { 3 }$

• A) \(( 3 x - 5 y ) \left( 9 x ^ { 2 } + 25 y ^ { 2 } \right)\)
• B) \(\left( 3 x + 5 y ^ { 2 } \right) \left( 9 x ^ { 2 } - 15 x y + 25 y ^ { 2 } \right)\)
• C) \(( 27 x - 5 y ) \left( x ^ { 2 } + 15 x y + 25 y ^ { 2 } \right)\)
• D) \(( 3 x - 5 y ) \left( 9 x ^ { 2 } + 15 x y + 25 y ^ { 2 } \right)\)

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Definitions:

Financial Structures

The specific mixture of long–term debt and equity that a company uses to finance its operations and growth.

Equity

Equity represents an owner's share in the assets of a company, remaining after deducting liabilities.

Debt

Debt is an amount of money borrowed by one party from another, under the condition that it is to be repaid at a later date, usually with interest.

Restrictive Covenants

Provisions in a contract or bond agreement that limit certain actions of the borrower, to protect the interests of the lender.