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

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) $(4 m+1) ^{-6 / 5}\left[1+(4 m+1) ^{8 / 5}+(4 m+1) ^{11 / 5}\right]$