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Binomial Theorem

Binomial Theorem

IP 4

Consider \((x^2+3)^4.\)

  1. Find the coefficient of \(x^6\) without expanding the whole expression.

  2. Explain why the coefficient of \(x^3\) is zero.

  3. State the number of nonzero terms after expansion and simplification.

Solution:

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Answer:(a) \(12\); (b) Only even powers occur; (c) \(5\).

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