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

question 96

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 2 x + y ) ^ { 6 }$$

• A) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 480 x ^ { 4 } y ^ { 2 } + 960 x ^ { 3 } y ^ { 3 } + 1440 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• B) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 60 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• C) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 240 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• D) \(2 x ^ { 6 } + 12 x ^ { 5 } y + 30 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 12 x y ^ { 5 } + y ^ { 6 }\)

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Definitions:

Flexible Budget

A budget that adjusts or flexes with changes in volume or activity levels of the business.

Static Budget

A financial plan that does not change over the period for which it is set, regardless of any changes in activity levels.

Standard Cost

A predetermined cost of manufacturing a product or performing a service under normal conditions, used for budgeting and performance evaluation.

Direct Labour

The wages paid to workers who are directly involved in the manufacturing of products or providing services.