Factor, Using the Given Factor $$( 2 m + 6 ) ^ { - 6 / 5 } + ( 2 m + 6 ) ^ { 1 / 5 } + ( 2 m + 6 ) ^ { 7 / 5 } ; \quad ( 2 m + 6 ) ^ { - 6 / 5 }$$

question 432

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $$( 2 m + 6 ) ^ { - 6 / 5 } + ( 2 m + 6 ) ^ { 1 / 5 } + ( 2 m + 6 ) ^ { 7 / 5 } ; \quad ( 2 m + 6 ) ^ { - 6 / 5 }$$

• A) \(( 2 m + 6 ) ^ { - 6 / 5 } \left[ 1 + ( 2 m + 6 ) ^ { 8 / 5 } + ( 2 m + 6 ) ^ { 11 / 5 } \right]\)
• B) \(( 2 m + 6 ) ^ { - 6 / 5 } \left[ 1 + ( 2 m + 6 ) ^ { 7 / 5 } - ( 2 m + 6 ) ^ { 13 / 5 } \right]\)
• C) \(( 2 \mathrm {~m} + 6 ) ^ { - 6 / 5 } \left[ 1 + ( 2 \mathrm {~m} + 6 ) ^ { 7 / 5 } + ( 2 \mathrm {~m} + 6 ) ^ { 13 / 5 } \right]\)
• D) \(( 2 \mathrm {~m} + 6 ) ^ { - 6 / 5 } \left[ 1 + ( 2 \mathrm {~m} + 6 ) ^ { - 7 / 5 } + ( 2 \mathrm {~m} + 6 ) ^ { - 13 / 5 } \right]\)

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