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

question 48

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. $( 6 x + 7 y ) ^ { 2 }$

• A) \(36 x ^ { 2 } + 84 x y + 7 y ^ { 2 }\)
• B) \(36 x ^ { 2 } - 84 x y + 49 y ^ { 2 }\)
• C) \(36 x ^ { 2 } + 42 x y + 49 y ^ { 2 }\)
• D) \(36 x ^ { 2 } + 84 x y + 49 y ^ { 2 }\)
• E) \(36 x ^ { 2 } + 49 y ^ { 2 }\)

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Definitions:

Partnership Interests

Ownership shares in a partnership that represent a partner's stake in the entity and its operations.

At-risk Amount

The maximum amount of money an investor could lose in an investment, often used in the context of limiting losses in tax sheltered investments.

Passive Activity

Economic activities in which the taxpayer does not materially participate, often associated with rental properties or certain business investments.

Ordinary Loss

A loss incurred in the normal operation of a business, which can be used to reduce other taxable income on an owner's tax return.