Simplify the Expression $\frac { 5 x ^ { 2 } + 15 x ^ { 3 } } { 3 x + 9 x ^ { 2 } }$

question 145

Multiple Choice

Simplify the expression.
- $\frac { 5 x ^ { 2 } + 15 x ^ { 3 } } { 3 x + 9 x ^ { 2 } }$

• A) \(\frac { 5 + 15 x ^ { 3 } } { 3 x + 9 }\)
• B) \(\frac { 5 x ^ { 2 } + 15 x ^ { 3 } } { 3 x + 9 x ^ { 2 } }\)
• C) \(\frac { 5 x } { 3 }\)
• D) \(\frac { 5 } { 3 }\)

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Definitions:

Testability

The capacity to be subjected to empirical testing or experimentation to confirm validity.

Comparative Reasoning

The process of making decisions or drawing conclusions based on the comparison of different data sets or scenarios.

Theoretical Model

A conceptual framework that represents and explains relationships among various phenomena or variables based on underlying theories.

Empirical

Based on observation or experience rather than theory or pure logic, often involving data collection and experimentation.