Factor, Using the Given Factor $15 s ^ { 3 / 7 } - 15 s ^ { - 5 / 7 } ; \quad s ^ { - 5 / 7 }$

question 628

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $15 s ^ { 3 / 7 } - 15 s ^ { - 5 / 7 } ; \quad s ^ { - 5 / 7 }$

• A) \(\mathrm { s } ^ { 1 / 3 } \left( 15 - 15 \mathrm {~s} ^ { 8 / 15 } \right)\)
• B) \(s ^ { 3 / 7 } \left( 15 s ^ { 8 / 7 } - 158 / 15 \right)\)
• C) \(s ^ { - 5 / 7 } \left( 15 s ^ { 8 / 7 } - 15 s \right)\)
• D) \(s ^ { - 5 / 7 } \left( 15 s ^ { 8 / 7 } - 15 \right)\)

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Definitions:

Conservation of Number

A cognitive ability in child development in which the child understands that changing the arrangement of objects does not change the number of objects.

A-not-B Tasks

A cognitive test used to assess the understanding of object permanence in infants, involving hiding an object in one location (A) and then a different location (B) and observing where the infant searches for it.

Goal-driven

Motivated or guided by the desire to achieve specific outcomes or objectives.

Understanding of Minds

The ability to attribute mental states—beliefs, intents, desires, emotions—to oneself and others.