Simplify the Expression $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

question 37

Multiple Choice

Simplify the expression. $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

• A) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)
• B) \(\frac { x - 2 } { ( x + 3 ) ( x + 2 ) }\)
• C) \(\frac { x ^ { 2 } - 14 } { ( x + 3 ) ( x + 2 ) }\)
• D) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 2 ) }\)
• E) \(\frac { x ^ { 2 } - 21 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)

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Definitions:

Supply And Demand

The relationship between the availability of a product (supply) and the desire for that product (demand).

Forecast Error

The difference between the actual outcome and the predicted value in a forecast, indicating the accuracy of forecasting methods.

Squares

Geometrical shapes with four equal sides and four right angles, or multiplications of a number by itself.

Mean Squared Error

A measure of the average squared differences between estimated and actual values, used to evaluate the accuracy of statistical models.