Write the Partial Fraction Decomposition of the Rational Expression $\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

question 120

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

• A) \(\frac { 2 x - 4 } { x ^ { 2 } + 5 } + \frac { - 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { - 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

Understand the sociological reasons leading to divorce and how they differ at micro and macro levels.

Recognize how economic factors, such as recessions, affect divorce rates.

Describe the demographic and socioeconomic patterns associated with divorce, including education, income, and race.

Understand the process and phases of divorce, including emotional and legal aspects.

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Definitions:

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