Perform the Indicated Operations Involving Rational Expressions $\frac { 6 n ^ { 2 } + 30 n - 36 } { 3 n ^ { 2 } + 10 n - 48 } \cdot \frac { 6 n ^ { 2 } - n - 40 } { 10 n ^ { 2 } + 15 n - 25 }$

question 174

Short Answer

Perform the indicated operations involving rational expressions. Express the final answer in simplest form. $\frac { 6 n ^ { 2 } + 30 n - 36 } { 3 n ^ { 2 } + 10 n - 48 } \cdot \frac { 6 n ^ { 2 } - n - 40 } { 10 n ^ { 2 } + 15 n - 25 }$

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Definitions:

Crave Alcohol

An intense and often uncontrollable desire to consume alcohol, typically seen in individuals with alcohol addiction or dependency issues.

At-Risk Drinking

Alcohol consumption patterns that increase the likelihood of developing health problems or compound existing ones.

Alcoholic Drinks

Beverages containing ethanol, a type of alcohol produced by fermenting grains, fruits, or other sources of sugar.

Tolerance

The body's reduced response to a drug after prolonged use, requiring an increased dosage to achieve the original effect.