Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 3 a } { 24 a ^ { 2 } - 6 a - 3 } + \frac { 1 } { 6 a ^ { 2 } + 15 a - 9 }$

question 209

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 3 a } { 24 a ^ { 2 } - 6 a - 3 } + \frac { 1 } { 6 a ^ { 2 } + 15 a - 9 }$

• A) \(\frac { 3 a ^ { 2 } + 13 a + 1 } { ( 6 a - 3 ) ( 4 a + 1 ) ( a + 3 ) }\)
• B) \(\frac { 3 a ^ { 2 } - 13 a + 1 } { ( 6 a - 3 ) ( 4 a - 1 ) ( a - 3 ) }\)
• C) \(\frac { 3 a ^ { 2 } + 15 a + 1 } { ( 24 a - 1 ) ( 4 a - 1 ) ( a + 3 ) }\)
• D) \(\frac { 3 a ^ { 2 } + 13 a + 1 } { ( 24 a - 3 ) ( 3 a + 1 ) ( a + 4 ) }\)
• E) \(\frac { 3 a ^ { 2 } + 13 a + 1 } { ( 6 a - 3 ) ( 24 a + 1 ) ( a + 4 ) }\)

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Definitions:

Population Standard Deviation

The measure of variability that encompasses all the values in a given population.

Point Estimate

A single value (or point) that serves as the best guess or best estimate of a population parameter (like the mean or proportion).

Point Estimate

A single value or statistic used to estimate a population parameter.

Proportion

A statistical measure that reflects the fraction or percentage of the total number of items or cases that fall within a certain category or exhibit a particular attribute.