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) \(r ^ { 5 } + 10 r ^ { 4 } + 40 r ^ { 3 } + 80 r ^ { 2 } + 60 r + 120\)

---

Definitions:

Depressive Cognitive Triad

Involved in behavioral psychology, this trio focuses on a depressive individual's pessimistic views concerning themselves, their future and their surroundings, contributing to maintaining their depression.

Negative Thoughts

Unhelpful and often irrational thoughts that can contribute to feelings of anxiety, depression, and stress.

Aggressive Scripts

Learned cognitive frameworks that guide individuals' perceptions and actions in social interactions, often leading to aggressive behavior.

Practiced

Refers to the repetition or exercise of an activity or skill to acquire or maintain proficiency in it.