Factor Completely $$5 x ^ { 7 / 2 } - \frac { 5 } { 2 } x ^ { - 7 / 2 }$$

question 127

Multiple Choice

Factor completely.
- $$5 x ^ { 7 / 2 } - \frac { 5 } { 2 } x ^ { - 7 / 2 }$$

• A) \(\frac { 5 } { 2 }\)
• B) \(\frac { 5 x ^ { 7 / 2 } } { 2 ( 2 x - 1 ) }\)
• C) \(\frac { 5 x ^ { 7 / 2 } ( 2 x - 1 ) } { 2 }\)
• D) \(\frac { 5 \left( 2 x ^ { 7 } - 1 \right) } { 2 x ^ { 7 / 2 } }\)

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Definitions:

Ground Circuit

An electrical circuit that uses the earth as a part of its conductive path, enhancing safety by preventing electric shock.

Insulated Circuit

The positive side of a chassis, negative ground electrical circuit. When testing voltage drop on the insulated circuit of a cranking system, total voltage drop should not exceed 0.5 volt in most 12-volt systems.

Voltage Drop Testing

A diagnostic method to measure the voltage loss in a circuit under load, identifying potential issues within the electrical system.

Cranking Circuit

The chassis electrical circuit that supplies the high-current load required to crank an engine. Also known as starting circuit.