Find the Following Product and Express Your Answer in Simplest $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

question 61

Multiple Choice

Find the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

• A) \(- 45 \sqrt { 21 } - 21 \sqrt { 3 } + 180 \sqrt { 7 } + 84\)
• B) \(45 \sqrt { 21 } - 21 \sqrt { 7 } - 180 \sqrt { 3 } + 84\)
• C) \(15 \sqrt { 3 } + 3 \sqrt { 7 } - 84\)
• D) \(45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84 \sqrt { 27 }\)
• E) \(45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84\)

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Definitions:

Facility Location Decisions

The process of selecting the most appropriate geographic location for a company's operations, considering factors such as cost, access to markets, and supply chain logistics.

Supply Chain's Performance

An assessment of how well a supply chain achieves its objectives, often measured by metrics such as delivery reliability, flexibility, and cost efficiency.

Shut Down

The process of ceasing operations, either temporarily or permanently, often in the context of industrial and manufacturing settings.

Capacity Allocation

Capacity allocation refers to the process of distributing available resources or capacity among various products, services, tasks, or activities.