Web Reference: Jul 23, 2025 · Approximation using binomial expansion is a practical method for simplifying expressions, especially when dealing with small values of x. By truncating the binomial series after a few terms, we can obtain quick approximations for various functions. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in the example below) and is a common tool in physics. In this video, we use binomial expansion to approximate powers of numbers close to 1. We use (1+x)^n for numbers greater than 1 and (1-x)^n for numbers less than 1.
YouTube Excerpt: In this video, we
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