Use One of the Appropriate Patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$

question 297

Multiple Choice

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $- 9 x ( 4 - 9 x ) ( 4 + 9 x )$

• A) \(- 36 x + 729 x ^ { 3 }\)
• B) \(- 144 x + 729 x ^ { 3 }\)
• C) \(- 144 x - 729 x ^ { 2 }\)
• D) \(- 144 x + 81 x ^ { 3 }\)
• E) none of these

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Definitions:

Positive Balance

A financial situation where assets exceed liabilities, indicating a surplus.

Protectionist Actions

Measures taken by a government to protect its domestic industries from foreign competition by imposing tariffs or quotas.

International Product Life Cycle

A theory explaining how a product matures and sales change over time on an international scale, including stages like introduction, growth, maturity, and decline.

Standardized

Conforming to a uniform style, size, or quality, often to facilitate compatibility and interoperability among various products or processes.