Review question

# Can we estimate a difference of eighth powers? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6503

## 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?