Use the Binomial Formula to Expand the Binomial $( 2 x + y ) ^ { 6 }$

question 23

Multiple Choice

Use the binomial formula to expand the binomial.
- $( 2 x + y ) ^ { 6 }$

• 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) \(2 x ^ { 6 } + 12 x ^ { 5 } y + 30 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• 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) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 60 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)

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Definitions:

Unemployment

The situation when individuals who are able and willing to work are unable to find employment.

Aggregate Demand Curve

A graphical representation of the total demand for goods and services in an economy at different price levels.

Price Level

Refers to the average of all current prices for goods and services in an economy.

Aggregate Quantity

The total amount, sum, or volume of goods or services produced or supplied in an economy at a given overall price level and time.