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Factor, Using the Given Factor (3m+5)2/5+(3m+5)1/5+(3m+5)7/5;(3m+5)2/5( 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.
- (3m+5) 2/5+(3m+5) 1/5+(3m+5) 7/5;(3m+5) 2/5( 3 m + 5 ) ^ { - 2 / 5 } + ( 3 m + 5 ) ^ { 1 / 5 } + ( 3 m + 5 ) ^ { 7 / 5 } ; \quad ( 3 m + 5 ) ^ { - 2 / 5 }


A) (3m+5) 2/5[1+(3m+5) 3/5+(3m+5) 9/5]( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 3 / 5 } + ( 3 m + 5 ) ^ { 9 / 5 } \right]
B) (3m+5) 2/5[1+(3m+5) 3/5+(3m+5) 9/5]( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { - 3 / 5 } + ( 3 m + 5 ) ^ { - 9 / 5 } \right]
C) (3m+5) 2/5[1+(3m+5) 3/5(3m+5) 9/5]( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 3 / 5 } - ( 3 m + 5 ) ^ { 9 / 5 } \right]
D) (3m+5) 2/5[1+(3m+5) 4/5+(3m+5) 7/5]( 3 m + 5 ) ^ { - 2 / 5 } \left[ 1 + ( 3 m + 5 ) ^ { 4 / 5 } + ( 3 m + 5 ) ^ { 7 / 5 } \right]

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