Factor the Expression Completely $( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }$

question 85

Essay

Factor the expression completely. Begin by factoring out the lowest power of each common factor. $( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }$

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Definitions:

Marsh Wren

A small North American bird that inhabits marshes and reed beds, known for its distinctive loud song and nest-building behavior.

Monogamy

A mating system in which a male animal mates with a single female during a breeding season.

Parental Care

Behaviours exhibited by parents towards their offspring to ensure their growth, survival, and success.

Offspring Survival

The ability of offspring to live past infancy and reach maturity, influenced by genetic, environmental, and parental factors.