Expand Using the Binomial Theorem $$( x + 2 y ) ^ { 6 }$$

question 71

Multiple Choice

Expand using the binomial theorem.
- $$( x + 2 y ) ^ { 6 }$$

• A) \(x ^ { 6 } + 12 x ^ { 5 } y + 48 x ^ { 4 } y ^ { 2 } + 144 x ^ { 3 } y ^ { 3 } + 192 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• B) \(x ^ { 6 } + 12 x ^ { 5 } y + 64 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 64 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + 2 y ^ { 6 }\)
• C) \(x ^ { 6 } + 12 x ^ { 5 } y + 60 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 240 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• D) \(x ^ { 6 } + 12 x ^ { 5 } y + 24 x ^ { 4 } y ^ { 2 } + 36 x ^ { 3 } y ^ { 3 } + 24 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + 2 y ^ { 6 }\)

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Definitions:

Actual Overhead

The actual indirect costs incurred for operations, including costs associated with manufacturing overhead not directly tied to a specific product or service.

Process Cost System

This accounting method is used for homogenous products and services to assign production costs evenly across all units produced, facilitating per unit cost analysis.

Job Order Cost System

An accounting system used to assign costs to individual jobs or batches, tracking the expenses associated with specific customer orders or projects.

Activity-Based Costing

A costing method that assigns overhead and indirect costs to related products and services based on the activities they use.