Factor Completely $125 \mathrm { x } ^ { 12 } + 8 \mathrm { y } ^ { 9 }$

question 139

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $125 \mathrm { x } ^ { 12 } + 8 \mathrm { y } ^ { 9 }$

• A) \(\left( 5 x ^ { 4 } + 2 y ^ { 3 } \right) \left( 25 x ^ { 8 } + 10 x ^ { 4 } y ^ { 3 } + 4 y ^ { 6 } \right)\)
• B) \(\left( 5 x ^ { 4 } - 2 y ^ { 3 } \right) \left( 5 x ^ { 4 } + 2 y ^ { 3 } \right)\)
• C) \(\left( 5 x ^ { 4 } - 2 y ^ { 3 } \right) \left( 25 x ^ { 2 } + 10 x ^ { 4 } y ^ { 3 } + 4 y ^ { 6 } b ^ { 2 } \right)\)
• D) \(\left( 5 x ^ { 4 } + 2 y ^ { 3 } \right) \left( 25 x ^ { 8 } - 10 x ^ { 4 } y ^ { 3 } + 4 y ^ { 6 } \right)\)

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Definitions:

Management Practices

The methods, strategies, and techniques used by managers to operate and control an organization.

Compensation Policy

A set of guidelines used by an organization to determine how employees will be paid for their work, including salaries, benefits, bonuses, and raises.

Directive Style

A leadership approach where instructions and orders are given directly to subordinates.

Path-Goal Theory

A leadership theory that suggests leaders should adjust their style, behaviors, and strategies to effectively motivate their followers and achieve task objectives.