Multiply and Simplify $$\frac { x ^ { 3 } + 1 } { x ^ { 3 } - x ^ { 2 } + x } \cdot \frac { 4 x } { - 28 x - 28 }$$

question 258

Multiple Choice

Multiply and simplify.
- $$\frac { x ^ { 3 } + 1 } { x ^ { 3 } - x ^ { 2 } + x } \cdot \frac { 4 x } { - 28 x - 28 }$$

• A) \(- \frac { x ^ { 2 } + 1 } { 7 }\)
• B) \(- \frac { 1 } { 7 }\)
• C) \(\frac { x + 1 } { 7 ( - x - 1 ) }\)
• D) \(- \frac { x ^ { 3 } + 1 } { 7 ( x + 1 ) }\)

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Definitions:

Personal Property

Any form of property that is movable and not fixed permanently to one location, as opposed to real property or real estate.

Debtor's Possession

Refers to a situation in bankruptcy proceedings where the debtor retains possession and control of its assets while undergoing reorganization.

Security Interest

A legal claim or lien on collateral that has been offered to secure a loan, which grants the lender a right to repossession if the borrower defaults.

Perfection

In finance and law, the process of securing a claim or interest in an asset, typically making it enforceable against third parties.