Multiply Using the Rule for the Product of the Sum $$( 3 x - y + 4 z ) ( 3 x - y - 4 z )$$

question 79

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$( 3 x - y + 4 z ) ( 3 x - y - 4 z )$$

• A) \(9 x ^ { 2 } - 6 x y + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }\)
• B) \(9 x ^ { 2 } - 6 x y + y ^ { 2 } - 16 z ^ { 2 }\)
• C) \(9 x ^ { 2 } + y ^ { 2 } - 16 z ^ { 2 }\)
• D) \(9 x ^ { 2 } + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }\)

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Definitions:

Social Roles

The expected behavior patterns attributed to someone occupying a given position in a social unit.

Individualistic Countries

Nations that prioritize the values and rights of the individual over the interests of the group, often emphasizing personal independence and achievement.

Hierarchically Structured

Organized in a way that ranks constituents or elements in levels of importance or authority, often found in organizations, systems, or biological classifications.

Authoritarian Parenting

A parenting style characterized by high demands and low responsiveness, where parents impose strict rules, expect obedience, and often use punishment to enforce discipline.