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

question 20

Multiple Choice

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

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

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Definitions:

Intergroup Conflict

Disagreement or confrontation between different groups, often arising from competition for resources or fundamental differences in values and beliefs.

Perceptions

The process of organizing, identifying, and interpreting sensory information to represent and understand the environment.

Evolutionary Theory

A theory that explains the adaptation and change of species over time through natural selection and genetic variation.

Warlike

Having or showing a propensity for conflict or warfare; aggressive and militant in nature.