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Question Give the first three terms of in descending order
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Q. Question Give the first three terms of in descending order
- Recognize binomial theorem: Recognize that we need to use the binomial theorem to expand . The binomial theorem states that can be expanded into a series of terms that involve powers of and and binomial coefficients. The first term will be , the second term will be , and the third term will be .
- Find first term: Apply the binomial theorem to find the first term of the expansion. The first term is simply raised to the power of , which is . So, the first term is or just .
- Calculate second term: Calculate the second term using the binomial theorem. The second term is times raised to the power of times , which is .
- Calculate third term: Calculate the third term using the binomial theorem. The third term involves the binomial coefficient , which is , times raised to the power of times squared, which is .
