Use the Binomial Theorem to Expand and Simplify the Expression $( r + 2 ) ^ { 5 }$

question 53

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( r + 2 ) ^ { 5 }$

• A) \(r ^ { 5 } + 10 r ^ { 4 } + 8 r ^ { 3 } + 80 r ^ { 2 } + 80 r + 32\)
• B) \(r ^ { 5 } + 10 r ^ { 4 } + 36 r ^ { 3 } + 80 r ^ { 2 } + 80 r + 32\)
• C) \(r ^ { 5 } + 10 r ^ { 4 } + 40 r ^ { 3 } + 80 r ^ { 2 } + 80 r + 32\)
• D) \(r ^ { 5 } + 10 r ^ { 4 } + 40 r ^ { 3 } + 80 r ^ { 2 } + 72 r + 36\)
• E) \(r ^ { 5 } + 10 r ^ { 4 } + 40 r ^ { 3 } + 80 r ^ { 2 } + 60 r + 120\)

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Mate Selection

The process by which individuals choose their partners based on certain traits, which can be influenced by biological, psychological, and socio-cultural factors.

Physical Attractiveness

The degree to which a person's physical traits are considered aesthetically pleasing or beautiful, often influencing social perception and interaction.

Status and Resources

Refers to the varied position individuals or groups hold within a societal hierarchy and the material or non-material assets that they have access to.

Self-Actualization

The achievement of realizing one's own abilities and potentials, often seen as a universal motivation or need.