How to use this applet:

The applet has a built-in help feature which can be accessed by pressing the play button at any time.

Notes on the maths used in the applet:

The maths of binomial expansions are relatively simple.

A binomial expansion is of the form (x+y)ⁿ or (ax^b + cy^d)ⁿ

The coefficients are the result of the calculation

(

n r

)

where n is the power of the binomial and r is the number of the term.

A term in a binomial expansion is characterised by the following formula:

where n is the power of the binomial and r is the term.

Calculating the full binomial expansion is just a matter of generating each term in the expansion, one at a time.