Remove the Parentheses by Multiplying and Then Simplify by Combining $8 x \left( x ^ { 2 } - 2 x - 8 \right) + x \left( 3 x ^ { 2 } + 8 x - 7 \right)$

question 166

Multiple Choice

Remove the parentheses by multiplying and then simplify by combining similar terms. $8 x \left( x ^ { 2 } - 2 x - 8 \right) + x \left( 3 x ^ { 2 } + 8 x - 7 \right)$

• A) \(11 x ^ { 3 } - 8 x ^ { 2 } - 73 x\)
• B) \(12 x ^ { 3 } - 8 x ^ { 2 } - 71 x\)
• C) \(11 x ^ { 3 } - 10 x ^ { 2 } - 72 x\)
• D) \(12 x ^ { 3 } - 10 x ^ { 2 } - 71 x\)
• E) \(11 x ^ { 3 } - 8 x ^ { 2 } - 71 x\)

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Definitions:

Comparative Advantage

The capacity of an entity to generate a product or service with a smaller opportunity cost than others.

Absolute Advantage

The capacity of an entity to manufacture a product or provide a service more effectively than its rivals, by utilizing fewer resources.

Comparative Advantage

A principle in economics that asserts a country's ability to produce a good at a lower opportunity cost compared to another country, fostering global trade efficiency.

Opportunity Cost

The cost of forgoing the next best alternative when making a decision, a fundamental concept in economics that emphasizes the potential benefits that are lost when choosing one option over another.