Suggestion

Write down the first four terms in the expansion of \((1+x)^8\) in ascending powers of \(x\).

How do we expand \((1+x)^n\)?

Evaluate \((1.001)^8-(0.999)^8\) to eight significant figures.

Can we also find the expansion of \((1-x)^8\)?

How can we be sure our answer is correct to eight significant figures?