Factor by Grouping $10 x ^ { 10 } - 15 x ^ { 5 } y ^ { 4 } + 6 x ^ { 5 } y ^ { 4 } - 9 y ^ { 8 }$

question 108

Multiple Choice

Factor by grouping.
- $10 x ^ { 10 } - 15 x ^ { 5 } y ^ { 4 } + 6 x ^ { 5 } y ^ { 4 } - 9 y ^ { 8 }$

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

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Definitions:

Predetermined Rate

A rate calculated before a period begins, used to allocate costs or apply charges in various accounting practices.

Direct Labor Cost

The expense of paying workers who physically produce the goods.

Direct Materials

The raw materials that are directly used in the manufacturing process of a product.

Manufacturing Overhead

The indirect factory-related costs incurred when producing a product, including costs associated with maintenance, utilities, and salaries of supervisory personnel.