Perform the Operations and Simplify the Result When Possible $\frac { x + 4 } { x + 5 } - \frac { x - 5 } { x + 7 }$

question 12

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { x + 4 } { x + 5 } - \frac { x - 5 } { x + 7 }$

• A) \(\frac { 11 x + 53 } { ( x + 5 ) ( x + 7 ) }\)
• B) \(\frac { 2 ( 11 x + 53 ) } { ( x + 5 ) ( x + 7 ) }\)
• C) \(\frac { 11 x + 53 } { x + 5 }\)
• D) \(\frac { 53 x + 11 } { ( x + 5 ) ( x + 7 ) }\)
• E) \(\frac { 11 x ^ { 2 } + 53 } { ( x + 5 ) ( x + 7 ) }\)

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Definitions:

Construction

The process of building or assembling infrastructure, buildings, or other substantial physical structures.

Overhaul

A comprehensive process of inspection and repair to ensure an equipment or system operates efficiently.

Double-declining-balance Method

A method of depreciation that accelerates the depreciation of an asset by applying a fixed rate to its declining book value.

Straight-line Method

A depreciation method that allocates the cost of an asset evenly over its useful life, resulting in a constant annual depreciation expense.