Factor as Completely as Possible $25 - ( x + 5 y ) ^ { 2 }$

question 80

Multiple Choice

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
- $25 - ( x + 5 y ) ^ { 2 }$

• A) \(( 5 + x + y ) ( 5 - x - y )\)
• B) \(( 5 + 5 x y ) ( 5 - 5 x y )\)
• C) \(( 5 + x + 5 y ) ( 5 - x - 5 y )\)
• D) \(( 5 + x - 5 y ) ( 5 - x - 5 y )\)

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Definitions:

Ortholog

Genes in different species that evolved from a common ancestral gene by speciation and retain the same function.

Speciation Event

The process by which new genetically distinct species evolve from a single ancestral species.

Gene Duplication

A process in which a chromosome segment is copied resulting in multiple copies of the same gene in the genome, often leading to new genetic functions.

Paralogs

Genes that have evolved within the same species due to gene duplication and then diverged in function.