By substituting \(p = x - x^2\) obtain the expansion of \((1 + x - x^2)^6\) as far as the term in \(x^2\).

How can we use our expansion from the first part of the question?

Find a value for \(x\) which would enable you to calculate \((1.0099)^6\).

We want to use an expansion of \((1 + x - x^2)^6\) - can we find an equation that \(x\) must satisfy?

Or can we see straight away what \(x\) must be?