Simplify the Complex Fraction $\frac { \left( \frac { 6 x ^ { 2 } - 11 x - 10 } { 7 x ^ { 2 } + 7 x } \right) } { \left( \frac { 2 x - 5 } { 7 x + 1 } \right) }$

question 43

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { 6 x ^ { 2 } - 11 x - 10 } { 7 x ^ { 2 } + 7 x } \right) } { \left( \frac { 2 x - 5 } { 7 x + 1 } \right) }$

• A) \(\frac { 3 x + 2 } { x } , x \neq - \frac { 5 } { 2 }\)
• B) \(\frac { 7 ( x + 1 ) } { x ( 3 x + 2 ) } , x \neq - \frac { 5 } { 2 }\)
• C) \(\frac { ( 3 x + 2 ) ( 7 x + 1 ) } { 7 x ( x + 1 ) } , x \neq \frac { 5 } { 2 }\)
• D) \(\frac { ( 3 x + 2 ) ( x + 1 ) } { x ( 7 x + 1 ) } , x \neq \frac { 5 } { 2 }\)
• E) \(\frac { 7 x + 1 } { 7 x } , x \neq \frac { 5 } { 2 }\)

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Definitions:

Gross Profit

The difference between revenue and the cost of goods sold, indicating the profitability of a company's core activities.

Goods Available for Sale

The total quantity of goods that a company has in its stock ready to sell at the end of a financial period.

Absorption Costing

An accounting method that includes all manufacturing costs — direct materials, direct labor, and both variable and fixed overhead — in the cost of a product.

Variable Costing

A costing method that includes only variable production costs in product cost calculations, used for internal decision-making.