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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