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- #1

I'm told that the binomial theorem can be used to simplify the following formula

\(\displaystyle x = \dfrac{1 - ay/2}{\sqrt{1-ay}}\)

to (approximately)

\(\displaystyle x = 1 + a^2 y^2 / 8\)

if a << 1.

Thanks for any help or pointers on this one in particular, and/or general help on how the binomial theorem is used in cases like this.

Perplexed