Factor Out the Greatest Common Factor $10 a ^ { 3 } - 6 a ^ { 2 } b + 25 a b ^ { 2 } - 15 b ^ { 3 }$

question 227

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $10 a ^ { 3 } - 6 a ^ { 2 } b + 25 a b ^ { 2 } - 15 b ^ { 3 }$

• A) \(\left( 10 a ^ { 2 } + 5 b ^ { 2 } \right) ( a - 3 b )\)
• B) \(\left( 2 a ^ { 2 } + 5 b \right) ( 5 a - 3 b )\)
• C) \(\left( 2 a ^ { 2 } - 5 b ^ { 2 } \right) ( 5 a + 3 b )\)
• D) \(\left( 2 a ^ { 2 } + 5 b ^ { 2 } \right) ( 5 a - 3 b )\)

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Definitions:

Shortage Costs

Costs that fall with increases in the level of investment in current assets.

Carrying Costs

Expenses incurred for holding inventory, including storage, insurance, and handling costs.

Bond Yields

The amount of return an investor realizes on a bond, calculated by dividing annual interest payments by the bond's current market price.

Reorder Points

The inventory level at which an order must be placed to replenish stock before it runs out, ensuring optimal inventory levels.