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Binomial Theorem

Binomial Theorem

IP 4

A student writes \[(1-2x)^4=1-8x+12x^2-8x^3+2x^4.\]

  1. Explain the underlying error.

  2. Write the correct expansion.

  3. Check your corrected expansion using \(x=1\).

Solution:

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Answer:(a) \(1-8x+24x^2-32x^3+16x^4\); (b) At \(x=1\), (c) Both sides equal \(1\).

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