Binomial Expansions Calculator, with positive integer exponent.

Algebra - investigating the use of the Binomial Expansion fomula for positive integer exponents. With this interactive Java™ applet you can vary the coefficients of the two variables x and y, the exponent. You can examine the expansion term by term with full working for each term.

Author and programmer: Ron Barrow

UK Years 12-13, Ages 16 - 19, KS5, A2 Level GCE Mathematics - Algebra


Instructions below    See also:    Binomial and Poisson   Binomial and Normal    PRINT

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How to Use this Applet

This applet is a calculator for simple binomial expansions of the type (an + bn) to the power of n, where a and b are integers between -5 and 5, and n is a positive integer no greater than 18.
On the screen you can change the numbers in the four boxes by clicking inside them and dragging left or right with your mouse or pointer.
The program displays the expansion term-by-term, and you can look at different terms using the fourth changeable box labelled t, which varies from 1 to n + 1.
The calculations are shown for each term. You use the applet as a calculator, or just learn by looking at how binomial expansions work. Enjoy!