Multiply the Rational Expressions $$\frac { 6 t ^ { 2 } - 4 t - 2 } { 3 } \cdot \frac { 9 t ^ { 2 } + 45 t } { 3 t ^ { 3 } + t ^ { 2 } }$$

question 92

Multiple Choice

Multiply the rational expressions. $$\frac { 6 t ^ { 2 } - 4 t - 2 } { 3 } \cdot \frac { 9 t ^ { 2 } + 45 t } { 3 t ^ { 3 } + t ^ { 2 } }$$

• A) \(6 ( t - 2 ) ( t + 15 )\)
• B) \(\frac { 54 t ( t + 9 ) } { t + 1 }\)
• C) \(\frac { 3 ( t + 5 ) } { t ^ { 2 } ( t + 1 ) }\)
• D) \(\frac { 6 ( t - 1 ) ( t + 5 ) } { t }\)

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Definitions:

Median

The middle value in a data set when it is arranged in ascending or descending order.

Midpoint

The value that lies exactly in the middle of a data set when it is ordered, or the central point of a line segment.

Set of Scores

A collection of numerical values obtained from a specific assessment or measurement.

Average Variability

The typical extent to which data points in a dataset differ from the mean or average, often measured using variance or standard deviation.