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Factor, Using the Given Factor (q+5)3/5+(q+5)1/5+(q+5)1/5;(q+5)3/5( q + 5 ) ^ { - 3 / 5 } + ( q + 5 ) ^ { - 1 / 5 } + ( q + 5 ) ^ { 1 / 5 } ; \quad ( q + 5 ) ^ { - 3 / 5 }

Question 398

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- (q+5) 3/5+(q+5) 1/5+(q+5) 1/5;(q+5) 3/5( q + 5 ) ^ { - 3 / 5 } + ( q + 5 ) ^ { - 1 / 5 } + ( q + 5 ) ^ { 1 / 5 } ; \quad ( q + 5 ) ^ { - 3 / 5 }


A) (q+5) 3/5[1+(q+5) 2/5+(q+5) 4/5]( \mathrm { q } + 5 ) ^ { - 3 / 5 } \left[ 1 + ( \mathrm { q } + 5 ) ^ { 2 / 5 } + ( \mathrm { q } + 5 ) ^ { 4 / 5 } \right]
B) (q+5) 3/5[1+(q+5) 1/5+(q+5) 3/5]( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { 1 / 5 } + ( q + 5 ) ^ { 3 / 5 } \right]
C) (q+5) 3/5[1+(q+5) 2/5+(q+5) 4/5]( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { - 2 / 5 } + ( q + 5 ) ^ { - 4 / 5 } \right]
D) (q+5) 3/5[1+(q+5) 4/5+(q+5) 6/5]( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { 4 / 5 } + ( q + 5 ) ^ { 6 / 5 } \right]

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