Simplify the Rational Expression $\frac { 2 m ^ { 3 } - 2 m ^ { 2 } - 12 m } { m ^ { 2 } - 5 m + 6 }$

question 155

Multiple Choice

Simplify the rational expression.
- $\frac { 2 m ^ { 3 } - 2 m ^ { 2 } - 12 m } { m ^ { 2 } - 5 m + 6 }$

• A) \(2 \mathrm {~m}\)
• B) \(\frac { 2 m ( m + 3 ) } { ( m - 3 ) }\)
• C) \(\frac { 2 m ( m + 2 ) } { ( m - 2 ) }\)
• D) \(\frac { 2 m ( m - 3 ) ( m + 2 ) } { ( m + 3 ) ( m - 2 ) }\)

---

Definitions:

Unemployment

A macroeconomic condition where individuals who are willing and able to work are unable to find employment.

Cost Adjustment

The process of modifying an organization's cost structure through various strategies such as reducing expenses, improving efficiency, or restructuring operations.

Reduced Work Week

An employment arrangement that decreases the number of hours worked per week, often to improve work-life balance or increase productivity.

Voluntary Sabbaticals

A period of leave granted to employees, which is not mandated but chosen freely, often for personal or professional development purposes.