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?