When we expand a binomial, I understand how the coefficient of will be , but not why the terms group together as they do in the form .

Why is this the case and not for example?

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- Nov 28th 2008, 05:02 AMGreengoblinBinomial expansion terms
When we expand a binomial, I understand how the coefficient of will be , but not why the terms group together as they do in the form .

Why is this the case and not for example? - Nov 28th 2008, 05:18 AMmr fantastic
- Nov 28th 2008, 05:55 AMGreengoblin
Thanks I've tried expanding for n=2,3,4, using the formula, and doing algebraically, and got the expected expressions in both cases, but still can't see why the powers of x and y in each term must add to n.