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:

E or Z Label

Descriptors used to specify the configuration of double bond substituents in geometric isomers, based on the Cahn-Ingold-Prelog priority rules.

Alkene

Hydrocarbons containing at least one carbon-to-carbon double bond, part of the unsaturated compounds.

Hydrocarbon Molecule

An organic compound consisting entirely of hydrogen and carbon atoms.

Triple Bonds

Chemical bonds formed by the sharing of three pairs of electrons between two atoms, characteristic of alkynes in organic chemistry.