Use the Binomial Theorem to Expand the Binomial $$( x + d ) ^ { 3 }$$

question 53

Multiple Choice

Use the binomial theorem to expand the binomial. $$( x + d ) ^ { 3 }$$

• A) \(\quad x ^ { 3 } + 2 x ^ { 2 } d + 2 x d ^ { 2 } + d ^ { 3 }\)
• B) \(\quad x ^ { 3 } + 3 x ^ { 2 } d + 3 x d ^ { 2 } + d ^ { 3 }\)
• C) \(\quad x ^ { 3 } + d ^ { 3 }\)
• D) \(\quad x ^ { 3 } + x ^ { 2 } d + x d ^ { 2 } + d ^ { 3 }\)
• E) none of the above

---

Definitions:

Probability

A measure of the likelihood of an event occurring, ranging from 0 (impossibility) to 1 (certainty).

Disease

A condition that impairs normal bodily functions, often characterized by specific symptoms and signs, and may be caused by factors such as pathogens, genetics, or environmental elements.

Poisson Distribution

A statistical distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space.

Probability

A measure of the likelihood of a particular event or outcome occurring, expressed as a number between 0 and 1.