Simplify the Complex Fraction $\frac { - \frac { 5 } { x } - \frac { 10 } { x + 5 } } { \frac { 3 } { x ^ { 2 } + 5 x } + \frac { 3 } { x } }$

question 57

Multiple Choice

Simplify the complex fraction. $\frac { - \frac { 5 } { x } - \frac { 10 } { x + 5 } } { \frac { 3 } { x ^ { 2 } + 5 x } + \frac { 3 } { x } }$

• A) \(- \frac { 5 ( 3 x - 5 ) } { 3 ( x + 6 ) }\)
• B) \(- \frac { 5 ( 3 x + 5 ) } { 3 ( x + 6 ) }\)
• C) \(- \frac { 3 ( 3 x - 5 ) } { 5 ( x + 6 ) }\)

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Definitions:

Stock Dividend

A payment made by a corporation to its shareholders in the form of additional stock, rather than cash.

Retained Earnings

The portion of a company's profits that is held or retained and not paid out as dividends to shareholders, often used for reinvestment in the business.