Factor, Using the Given Factor $$( 4 m + 1 ) ^ { - 6 / 5 } + ( 4 m + 1 ) ^ { 1 / 5 } + ( 4 m + 1 ) ^ { 7 / 5 } ; \quad ( 4 m + 1 ) ^ { - 6 / 5 }$$

question 432

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $$( 4 m + 1 ) ^ { - 6 / 5 } + ( 4 m + 1 ) ^ { 1 / 5 } + ( 4 m + 1 ) ^ { 7 / 5 } ; \quad ( 4 m + 1 ) ^ { - 6 / 5 }$$

• A) \(( 4 \mathrm {~m} + 1 ) ^ { - 6 / 5 } \left[ 1 + ( 4 \mathrm {~m} + 1 ) ^ { 7 / 5 } + ( 4 \mathrm {~m} + 1 ) ^ { 13 / 5 } \right]\)
• B) \(( 4 m + 1 ) ^ { - 6 / 5 } \left[ 1 + ( 4 m + 1 ) ^ { - 7 / 5 } + ( 4 m + 1 ) ^ { - 13 / 5 } \right]\)
• C) \(( 4 \mathrm {~m} + 1 ) ^ { - 6 / 5 } \left[ 1 + ( 4 \mathrm {~m} + 1 ) ^ { 7 / 5 } - ( 4 \mathrm {~m} + 1 ) ^ { 13 / 5 } \right]\)
• D) \((4 m+1)^{-6 / 5}\left[1+(4 m+1)^{8 / 5}+(4 m+1)^{11 / 5}\right]\)

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