Binomial expansion is basically the opposite of factoring. It takes a basic, fully factored combination of variables and numbers and expands it from a basic form (ax +by)^n. The following picture shows a binomial expansion of the equation (2x - 3y)^4:
To find out the coefficients of each term, use Pascal's Triangle (shown on top). Then, take the first term (ax) and with the first coefficient, set it to the 4th power, then the 3rd power, etc. down to the 0th power. Do the opposite with the 2nd term (by), starting at 0th and then going up to the 4th power. Finally, multiply the terms to simplify. Final answer is in green.
this really helped me a lot. thanks for explaining
ReplyDeleteWow Joe! Way to be proactive and do an example for this (on Educreations?)! I just looked in the book for examples!
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