Add or Subtract as Indicated $$\frac { x ^ { 2 } + 63 } { x ^ { 2 } + 5 x - 14 } + \frac { 7 - 15 x } { 14 - 5 x - x ^ { 2 } }$$

question 56

Multiple Choice

Add or subtract as indicated. Simplify the result, if possible.
- $$\frac { x ^ { 2 } + 63 } { x ^ { 2 } + 5 x - 14 } + \frac { 7 - 15 x } { 14 - 5 x - x ^ { 2 } }$$

• A) \(\frac { ( x - 7 ) ( x - 8 ) } { ( x + 7 ) ( x - 2 ) }\)
• B) \(\frac { x + 8 } { x ^ { 2 } + 5 x - 14 }\)
• C) \(\frac { x + 8 } { x - 2 }\)
• D) \(\frac { x + 7 } { x - 2 }\)

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Definitions:

Valve Body

A critical component in an automatic transmission that controls the flow of hydraulic fluid, which in turn controls gear shifting and operation.

Differential Fluid

The lubricant used in a vehicle's differential to cool and reduce friction among the gears within.

Clutch System

Refers to the components that engage and disengage the engine's power transmission to the gearbox in a vehicle.

PCM

Powertrain Control Module, an automotive component that manages various aspects of an engine's operation, including the fuel mixture, ignition timing, and emissions control.