Factor, Using the Given Factor $( 3 m + 5 ) ^ { - 2 / 5 } + ( 3 m + 5 ) ^ { 1 / 5 } + ( 3 m + 5 ) ^ { 7 / 5 } ; \quad ( 3 m + 5 ) ^ { - 2 / 5 }$

question 215

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $( 3 m + 5 ) ^ { - 2 / 5 } + ( 3 m + 5 ) ^ { 1 / 5 } + ( 3 m + 5 ) ^ { 7 / 5 } ; \quad ( 3 m + 5 ) ^ { - 2 / 5 }$

• A) \(( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 3 / 5 } + ( 3 m + 5 ) ^ { 9 / 5 } \right]\)
• B) \(( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { - 3 / 5 } + ( 3 m + 5 ) ^ { - 9 / 5 } \right]\)
• C) \(( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 3 / 5 } - ( 3 m + 5 ) ^ { 9 / 5 } \right]\)
• D) \(( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 4 / 5 } + ( 3 m + 5 ) ^ { 7 / 5 } \right]\)

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Definitions:

Multisystemic Therapy

A form of intensive family- and community-based treatment that addresses the complex determinants of serious antisocial behavior in juveniles, focusing on their natural environments.

Recurrently Suicidal Youth

Refers to young individuals who experience repeated suicidal thoughts or behaviors over a period.

Mandated

Required or ordered by a legal or authoritative body to be done or adhered to.

Multisystemic Therapy

A form of intensive family- and community-based treatment focusing on the various systems affecting troubled youth, such as family, peers, school, and neighborhood.