Subtract Simplify, If Possible $$\frac { x } { x ^ { 2 } - 16 } - \frac { 8 } { x ^ { 2 } + 5 x + 4 }$$

question 46

Multiple Choice

Subtract. Simplify, if possible.
- $$\frac { x } { x ^ { 2 } - 16 } - \frac { 8 } { x ^ { 2 } + 5 x + 4 }$$

• A) \(\frac { x ^ { 2 } - 7 x + 32 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• B) \(\frac { x ^ { 2 } - 7 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• C) \(\frac { x ^ { 2 } + 7 x + 32 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• D) \(\frac { x ^ { 2 } - 7 x + 32 } { ( x - 4 ) ( x + 4 ) }\)

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Definitions:

Average Tax Rate

Total amount of tax paid divided by total income.

Total Taxes

The aggregate amount of taxes collected by a government from individuals and businesses.

Taxable Income

The portion of an individual or entity's income that is subject to taxation, after deductions and exemptions, according to the law.

Deductions

Expenses or specific amounts that can be subtracted from one's gross income to reduce the taxable income.