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

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) $( 2 \mathrm {~m} + 6 ) ^ { - 6 / 5 } \left[ 1 + ( 2 \mathrm {~m} + 6 ) ^ { - 7 / 5 } + ( 2 \mathrm {~m} + 6 ) ^ { - 13 / 5 } \right]$